find the radius of a circle given two points calculator

Would a third point suffice? $$ A bit of theory can be found below the calculator. It is equal to half the length of the diameter. $$ y_0 = \frac{x^2+y^2}{2y}.$$. So you have the following data: x0 = 0 y0 = 0 x1 = 3 y1 = 1 y2 = ? $$ How can I explain to my manager that a project he wishes to undertake cannot be performed by the team? If you preorder a special airline meal (e.g. Acidity of alcohols and basicity of amines. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. For a simulation, I need to be able to calculate the radius $r$ of a circle $C$, knowing only two points on its circumference, $P_1$ and $P_2$, as well as the distance between them ($a$) and how much of the whole circumference $c$ is in the arc between those two points ($\frac{c}{x}$, where $x$ is known and $\geq 1$). Learn more about Stack Overflow the company, and our products. Tangent: a line that intersects the circle at only a single point; the rest of the line, except the single point at which it intersects the circle, lies outside of the circle. Should this not be possible, what else would I need? $$ Assuming that your $R$ is the radius, one can calculate $R=\frac{1}{2}*a*csc(\frac{a}{2})$ to obtain it, correct? Yep. We know that the arclength $s$ between the two points is given by $s = 2\pi r/x$, where $x$ is known. What's the difference between a power rail and a signal line? how-to-find-radius-of-a-circle-given-two-points 2/6 Downloaded from ads.independent.com on November 3, 2022 by guest using real-world examples that WebFinally, to calculate the circle's radius, we use this formula: radius = Square Root [(x1 -xCtr)^2 + (y1 -yCtr)^2)] where (x1, y1) can be anyof the three points but let's use (9, 2) radius = Square Root [(9 -7)^2 + (2 --2)^2)] radius = Square Root [(2)^2 + (4)^2)] radius = Square Root (20) radius = 4.472135955 Major sector a sector with a central angle larger than 180, Minor sector a sector with a central angle less than 180. I will use this for this example Explanation: We know: P1 P2 From that we know: x ( P 2. x P 1. x) y ( P 2. y P 1. y) d ( ( x + y )) Thank you very much. What can a lawyer do if the client wants him to be acquitted of everything despite serious evidence? What is a word for the arcane equivalent of a monastery? Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Here is a diagram of the problem I am trying to solve. Tell us the $P_1$, $P_2$, and $x$ that you used in your example test. WebFind the radius of a circle given two points - My goal is to find the angle at which the circle passes the 2nd point. Is there a proper earth ground point in this switch box? WebCircle Calculator Choose a Calculation radius r = Let pi = Units Significant Figures Answer: radius r = 12 in diameter d = 24 in circumference C = 75.3982237 in area A = 452.389342 in 2 In Terms of Pi circumference C = 24 in area A = 144 in 2 Solutions diameter d = 2 r d = 2 12 d = 24 circumference C = 2 r C = 2 12 C = 24 To use the calculator, enter the x and y coordinates of a center and radius of each circle. Second point: This is a nice, elegant solution and I would accept it if I could accept two answers. In the past, ancient geometers dedicated a significant amount of time in an effort to "square the circle." Also, it can find equation of a circle given its center and radius. It would help to convert this to a question about triangles instead. The radius of a circle from circumference: if you know the circumference c, the radius is r = c / (2 * ). You can find the center of the circle at the bottom. Each new topic we learn has symbols and problems we have never seen. We know that the arclength $s$ between the two points is given by $s = 2\pi r/x$, where $x$ is known. Then the distance between A and M (d(A, M)) is r. The distance between B and M is also r, since A and B are both points on the circle. In addition, we can use the center and one point on the circle to find the radius. $$. Our equation of the circle calculator finds not only these values but also the diameter, circumference, and area of the circle all to save you time! In my sketch, we see that the line of the circle is leaving. Fill in the known values of the selected equation. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. (x2-x1)2+(y2-y1)2=d. Basically, I am going to pin a piece of string in the ground y2 feet away from my board and attach a pencil to one end in order to mark the curve that I need to cut. y_2 = m(x_0 - x_p) + y_p WebThe procedure to use the equation of a circle calculator is as follows: Step 1: Enter the circle centre and radius in the respective input field Step 2: Now click the button Find Equation of Circle to get the equation Step 3: Finally, the equation of a circle of a given input will be displayed in the new window What is the Equation of a Circle? WebCircle equation calculator This calculator can find the center and radius of a circle given its equation in standard or general form. Tap for more steps r = 26 r = 26 (xh)2 +(yk)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2 is the equation form for a circle with r r radius and (h,k) ( h, k) as the center point. Learn more about Stack Overflow the company, and our products. This makes me want to go back and practice the basics again. WebCircle Calculator Choose a Calculation radius r = Let pi = Units Significant Figures Answer: radius r = 12 in diameter d = 24 in circumference C = 75.3982237 in area A = 452.389342 in 2 In Terms of Pi circumference C = 24 in area A = 144 in 2 Solutions diameter d = 2 r d = 2 12 d = 24 circumference C = 2 r C = 2 12 C = 24 I am trying to solve for y2. WebFinally, to calculate the circle's radius, we use this formula: radius = Square Root [(x1 -xCtr)^2 + (y1 -yCtr)^2)] where (x1, y1) can be anyof the three points but let's use (9, 2) radius = Square Root [(9 -7)^2 + (2 --2)^2)] radius = Square Root [(2)^2 + (4)^2)] radius = Square Root (20) radius = 4.472135955 What video game is Charlie playing in Poker Face S01E07? Best math related app imo. Arc: part of the circumference of a circle, Major arc: an arc that is greater than half the circumference, Minor arc: an arc that is less than half the circumference. I added an additional sentence about the arc in the question. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. Calculate circle given two points and conditions, How to Calculate Radius of Circle Given Two Points and Tangential Circle, Circle problem with given center and radius, How to find the center point and radius of a circle given two sides and a single point, Square ABCD is given. Arc: part of the circumference of a circle Please provide any value below to calculate the remaining values of a circle. Also, it can find equation of a circle given its center and radius. Diameter: the largest distance between any two points on a circle; by this definition, the diameter of the circle will always pass through the center of the circle. WebThe radius is any line segment from the center of the circle to any point on its circumference. Base circle is unit circle with radius 1 as well as coordinates for p1 and p2 are given beforehand Up to this point I know that $$ |p_1 - c| = r $$ $$ |p_2 - c| = r $$ $$ r^2 + 1 = c^2 $$ But somehow I got stuck to solve and figure out radius and center points of circle. Why are physically impossible and logically impossible concepts considered separate in terms of probability? Could I do them by hand? It only takes a minute to sign up. r^2 r2 is the radius of the circle raised to the power of two, so to find the radius, take the square root of this value. Thank you (and everyone else) for your efforts. Is it suspicious or odd to stand by the gate of a GA airport watching the planes? Love it and would recommend it to everyone having trouble with math. y1 = 1 If 2r d then graphing calculator red algebraic limits calculator helpwithmath market adjustment raise calculator questions to ask math students earnings growth ratio calculation Finally, the equation of a line through point $P$ and slope $m$ is given by the point slope formula. So you have the following data: x0 = 0 y0 = 0 x1 = 3 y1 = 1 y2 = ? So, we know the angle $\alpha$ of the arc between the two points -- it's just $\alpha = s/r = 2\pi/x$. WebThe radius is any line segment from the center of the circle to any point on its circumference. The unknowing Read More A circle's radius is always half the length of its diameter. We can also use three points on a circle (or two points if they are at opposite ends of a diameter) to find the center and radius. Then, using the formula from the first answer, we have: $$r \sin\left (\frac {\alpha} {2}\right) = \frac {a} {2} $$ and so It is also a transcendental number, meaning that it is not the root of any non-zero polynomial that has rational coefficients. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. This should actually be x^2 + y^2 / 2y. Calculate the distance between (6,4) and (2,8) using the distance formula and divide by 2 to get the circle's radius. Pictured again below with a few modifications. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. Is there a proper earth ground point in this switch box. How to find the arc length between any two points (real numbers) on the circumference of a circle with center at the origin? Then, using the formula from the first answer, we have: $$r \sin\left(\frac{\alpha}{2}\right) = \frac{a}{2} $$, $$r = \frac{\tfrac{1}{2}a} {\sin\tfrac{1}{2}\alpha } = \tfrac{1}{2}a\,\mathrm{cosec}\tfrac{1}{2}\alpha $$, $$r = \frac{1}{2}a\,\mathrm{cosec}\left(\frac{\pi}{x}\right)$$. A chord that passes through the center of the circle is a diameter of the circle. The best answers are voted up and rise to the top, Not the answer you're looking for? Use the Distance Formula to find the equation of the circle. $(x_0,y_2)$ lies on this line, so that You may want to use $\approx$ signs as the radius is actually 5. indeed. x1 = 3 The following image should illustrate this: While being closely related to questions just as this one, it's not quite the same, as I don't know the angles. Also $R \cdot sin({\alpha \over 2}) = {a \over 2}$, it is also pretty obviously. In math formulas, the radius is r and the diameter is d. You might see this step in your textbook as . You can find the center of the circle at the bottom. This was a process that involved attempting to construct a square with the same area as a given circle within a finite number of steps while only using a compass and straightedge. $d(B, M)=\sqrt{(3-0)^2+(1-r)^2}=\sqrt{r^2-2r+10}=r$ (pythagorean theorem). how-to-find-radius-of-a-circle-given-two-points 2/6 Downloaded from ads.independent.com on November 3, 2022 by guest using real-world examples that It is equal to twice the length of the radius. What is the point of Thrower's Bandolier? Is a PhD visitor considered as a visiting scholar? Easy than to write in google and ask but in this app just we have to click a photo. To use the calculator, enter the x and y coordinates of a center and radius of each circle. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. WebI know that only having two points is not enough for determining the circle, but given that the center is on the same x coordinate as one of the points, is there a way to use those two points to find the center/radius of the circle? It also plots them on the graph. $\alpha = 2\pi ({arc \over circumference})$. $$ WebTo find the center & radius of a circle, put the circle equation in standard form. Euler: A baby on his lap, a cat on his back thats how he wrote his immortal works (origin?). It also plots them on the graph. So, we have To use the calculator, enter the x and y coordinates of a center and radius of each circle. This online calculator finds the intersection points of two circles given the center point and radius of each circle. The calculator will generate a step by step explanations and circle graph. We've added a "Necessary cookies only" option to the cookie consent popup, Find all circles given two points and not the center, Find the center of a circle on the x-axis with only two points, no radius/angle given, Find the midpoint between two points on the circle, Center of Arc with Two Points, Radius, and Normal in 3D. The radius of a circle from the area: if you know the area A, the radius is r = (A / ). Arc: part of the circumference of a circle $$ y_0^2 = x^2+(y-y_0)^2 $$ A bit of theory can be found below the calculator. WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. @Big-Blue, then you know $arc \over circumference$. Great help, easy to use, has not steered me wrong yet! The radius of a circle from the area: if you know the area A, the radius is r = (A / ). Plugging in your values for x and y, you have the two equations: ( 6 h) 2 + ( 3 k) 2 = 5 2 and ( 7 h) 2 + ( 2 k) 2 = 5 2 Parametric equation of a circle $$ What Is the Difference Between 'Man' And 'Son of Man' in Num 23:19? WebYour two given points ($ (x_1, y_1)$ and $ (x_2, y_2)$) and the centers of the two desired circles are at the four vertices of a rhombus with side length $r$. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Are there tables of wastage rates for different fruit and veg? y_2 = - \frac{x_1 - x_0}{y_1 - y_0}\left(x_0 - \frac{x_0 + x_1}{2}\right) + \frac{y_0 + y_1}{2} \implies\\ Fill in the known values of the selected equation. But somehow, the results I get with this are far off. WebThis online calculator finds the intersection points of two circles given the center point and radius of each circle. In addition, we can use the center and one point on the circle to find the radius. Can airtags be tracked from an iMac desktop, with no iPhone? WebI know that only having two points is not enough for determining the circle, but given that the center is on the same x coordinate as one of the points, is there a way to use those two points to find the center/radius of the circle? So, we know the angle $\alpha$ of the arc between the two points -- it's just $\alpha = s/r = 2\pi/x$. The calculator will generate a step by step explanations and circle graph. In addition, we can use the center and one point on the circle to find the radius. so $x^2+y^2=2yy_0$ gives: Why are trials on "Law & Order" in the New York Supreme Court? My goal is to find the angle at which the circle passes the 2nd point. Arc: part of the circumference of a circle For example, if the diameter is 4 cm, the radius equals 4 cm 2 = 2 cm. In my sketch, we see that the line of the circle is leaving P1 at a 90-degree angle. Each new topic we learn has symbols and problems we have never seen. $$ rev2023.3.3.43278. Based on the diagram, we can solve the question as follows: Because $C = (x_0,y_2)$ is equidistant from $P_0 = (x_0,y_0)$ and $P_1 = (x_1,y_1)$, $C$ must lie on the perpendicular bisector of $P_0$ and $P_1$. The radius of a circle from circumference: if you know the circumference c, the radius is r = c / (2 * ). How to follow the signal when reading the schematic? all together, we have Read on if you want to learn some formulas for the center of a circle! You can use the Pythagorean Theorem to find the length of the diagonal of Sector: the area of a circle created between two radii. Find center and radius Find circle equation Circle equation calculator Here are the possible cases (distance between centers is shown in red): So, if it is not an edge case, to find the two intersection points, the calculator uses the following formulas (mostly deduced with Pythagorean theorem), illustrated with the graph below: The first calculator finds the segment a Such is the trouble of taking only 4 sig figs on the angle measurements. Circumference: the distance around the circle, or the length of a circuit along the circle. 1 Im trying to find radius of given circle below and its center coordinates. Can I obtain $z$ value of circumference center given two points? WebThis online calculator finds the intersection points of two circles given the center point and radius of each circle. It is equal to twice the length of the radius. In math formulas, the radius is r and the diameter is d. You might see this step in your textbook as . The unknowing Read More y0 = 0 To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The slope of the line connecting two points is given by the rise-over-run formula, and the perpendicular slope is its negative reciprocal. I know that only having two points is not enough for determining the circle, but given that the center is on the same x coordinate as one of the points, is there a way to use those two points to find the center/radius of the circle? Tap for more steps r = 26 r = 26 (xh)2 +(yk)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2 is the equation form for a circle with r r radius and (h,k) ( h, k) as the center point. The two points are the corners of a 3'x1' piece of plywood. y2 = ? Calculating a circles radius from two known points on its circumference, WolframAlpha calculate the radius using the formula you provided, We've added a "Necessary cookies only" option to the cookie consent popup, Calculating circle radius from two points on circumference (for game movement), How to calculate radius of a circle from two points on the circles circumference, Calculating the coordinates of a point on a circles circumference from the radius, an origin and the arc between the points, Calculating circle radius from two points and arc length, Parametric equation of an arc with given radius and two points, How to calculate clock-wise and anti-clockwise arc lengths between two points on a circle, Arclength between two points on a circle not knowing theta, Calculate distance between two points on concentric circles. r^2 r2 is the radius of the circle raised to the power of two, so to find the radius, take the square root of this value. To be more precise, with your method, the answer is $$\frac{\sqrt{(y_1-y_0)^2+(x_1-x_0)^2}*\sin(\frac{\pi}{2}-\tan^{-1}\left(\frac{|y1-y0|}{|x_1-x_0|}\right)}{\sin\left(\pi-2\left(\frac{\pi}{2}-\tan^{-1}\left({|y1-y0|}\over{|x_1-x_0|}\right)\right)\right)}$$. Solving for $y_2$, we have Find DOC. I want to cut the best curve out of the plywood for the jump, and would like to have a formula to calculate/draw the curve for other size ramps. The task is relatively easy, but we should take into account the edge cases therefore we should start by calculating the cartesian distance d between two center points, and checking for edge cases by comparing d with radiuses r1 and r2. Intersection of two circles First Circle x y radius Why is there a voltage on my HDMI and coaxial cables? The rectangle will basically be a piece of plywood and the curve will be cut out of it. y - y_p = m(x - x_p) Law of cosines: 3.0.4208.0, How many circles of radius r fit in a bigger circle of radius R, Course angles and distance between the two points on the orthodrome(great circle), Trivial case: the circles are coincident (or it is the same circle), You have one or two intersection points if all rules for the edge cases above are not applied. Then, using the formula from the first answer, we have: $$r \sin\left (\frac {\alpha} {2}\right) = \frac {a} {2} $$ and so WebCircle Radius Calculator - Symbolab Circle Radius Calculator Calculate circle radius given equation step-by-step full pad Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. The center of a circle calculator is easy to use. Method 4 Using the Area and Central Angle of a Sector 1 Set up the formula for the area of a sector. Select the circle equation for which you have the values. and then the segment h. To find point P3, the calculator uses the following formula (in vector form): And finally, to get a pair of points in case of two points intersecting, the calculator uses these equations: WebCircle equation calculator This calculator can find the center and radius of a circle given its equation in standard or general form. Where does this (supposedly) Gibson quote come from? The unknowing Read More WebThis online calculator finds the intersection points of two circles given the center point and radius of each circle. WebFind the radius of a circle given two points - My goal is to find the angle at which the circle passes the 2nd point. WebCircle equation calculator This calculator can find the center and radius of a circle given its equation in standard or general form. Find center and radius Find circle equation Circle equation calculator If 2r d then graphing calculator red algebraic limits calculator helpwithmath market adjustment raise calculator questions to ask math students earnings growth ratio calculation If 2r d then. Therefore, the coordinate of the middle point is 5 foot above the point $(x_0, y_0)$ and the radius is 5. Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? The calculator will generate a step by step explanations and circle graph. Read on if you want to learn some formulas for the center of a circle! What is the point of Thrower's Bandolier? Super simple and it works. The radius of a circle from the area: if you know the area A, the radius is r = (A / ). y_2 - y_p = m(x_0 - x_p) I will use this for this example Explanation: We know: P1 P2 From that we know: x ( P 2. x P 1. x) y ( P 2. y P 1. y) d ( ( x + y )) A circle's radius is always half the length of its diameter. The unknowing Read More $$ The inverse function of $sin(x)/x$ you need here can be sure approximated. WebDiameter: the largest distance between any two points on a circle; by this definition, the diameter of the circle will always pass through the center of the circle. You should say that the two points have the same x-coordinate, not that the points "are perpendicular". How to tell which packages are held back due to phased updates. Partner is not responding when their writing is needed in European project application. Each new topic we learn has symbols and problems we have never seen. (I'll use degrees as it is more common for household projects, but can easily be changed into radians as needed), As the angle pointed to by the yellow arrow is $\arctan(\frac{1}{3})\approx 18.43^\circ$, that means the red angles are $90^\circ - \arctan(\frac{1}{3})\approx 71.57^\circ$. What does this means in this context? WebWell, the equation of a circle takes the form: ( x h) 2 + ( y k) 2 = r 2 where h,k are the coordinates of the center of the circle, and r is the radius. In this case, r r is the distance between (2,7) ( 2, 7) and (3,8) ( - 3, 8). Does Counterspell prevent from any further spells being cast on a given turn? r^2 r2 is the radius of the circle raised to the power of two, so to find the radius, take the square root of this value. Our equation of the circle calculator finds not only these values but also the diameter, circumference, and area of the circle all to save you time! What does this means in this context? You can use the Pythagorean Theorem to find the length of the diagonal of So, we have a $71.57, 71.57, 36.86$ triangle. - \frac{x_1 - x_0}{y_1 - y_0} this circle intersects the perpendicular bisector of BC in two points. My goal is to find the angle at which the circle passes the 2nd point. We can also use three points on a circle (or two points if they are at opposite ends of a diameter) to find the center and radius. x0 = 0 $$ By the law of sines, $\frac{A}{\sin(a)}=\frac{B}{\sin(b)}$ you have $B = (\sqrt{3^2+1^2}\frac{\sin(71.57^\circ)}{\sin(36.86^\circ)}) \approx 5.0013$, Let $A(0, 0), B(3, 1), M(0, r)$ (we place the point $A(x_0, y_0)$ on the origin). In my sketch, we see that the line of the circle is leaving P1 at a 90-degree angle. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Base circle is unit circle with radius 1 as well as coordinates for p1 and p2 are given beforehand Up to this point I know that $$ |p_1 - c| = r $$ $$ |p_2 - c| = r $$ $$ r^2 + 1 = c^2 $$ But somehow I got stuck to solve and figure out radius and center points of circle. WebTo find the center & radius of a circle, put the circle equation in standard form. Radius: the distance between any point on the circle and the center of the circle. A bit of theory can be found below the calculator. If you only know $arc$ and $distance$, then $distance = (2R)\cdot sin({arc \over (2R)})$. P = \frac{P_0 + P_1}{2} = \left(\frac{x_0 + x_1}{2},\frac{y_0 + y_1}{2} \right) = (x_p,y_p) The center of a circle calculator is easy to use. Are there tables of wastage rates for different fruit and veg? rev2023.3.3.43278. Find center and radius Find circle equation Circle equation calculator Method 4 Using the Area and Central Angle of a Sector 1 Set up the formula for the area of a sector. $$ While it is now known that this is impossible, it was not until 1880 that Ferdinand von Lindemann presented a proof that is transcendental, which put an end to all efforts to "square the circle." It is equal to twice the length of the radius. Secant: a line that passes through the circle at two points; it is an extension of a chord that begins and ends outside of the circle. A circle, geometrically, is a simple closed shape. y_2 = \frac{(x_1 - x_0)^2}{2(y_1 - y_0)} + \frac{y_0 + y_1}{2} Note the opposite signs before the second addend, For more information, you can refer to Circle-Circle Intersection and Circles and spheres. By the pythagorean theorem, Browser slowdown may occur during loading and creation. The figures below depict the various parts of a circle: The radius, diameter, and circumference of a circle are all related through the mathematical constant , or pi, which is the ratio of a circle's circumference to its diameter. Thanks for providing a formula that is usable on-the-fly! Plugging in your values for x and y, you have the two equations: ( 6 h) 2 + ( 3 k) 2 = 5 2 and ( 7 h) 2 + ( 2 k) 2 = 5 2 $$ We can also use three points on a circle (or two points if they are at opposite ends of a diameter) to find the center and radius. The radius of a circle from circumference: if you know the circumference c, the radius is r = c / (2 * ). In my sketch, we see that the line of the circle is leaving. 1 Im trying to find radius of given circle below and its center coordinates. My goal is to find the angle at which the circle passes the 2nd point. Everyone who receives the link will be able to view this calculation, Copyright PlanetCalc Version: Parametric equation of a circle This is close, but you left out a term. The needed formula is in my answer. Does a summoned creature play immediately after being summoned by a ready action? WebYour two given points ($ (x_1, y_1)$ and $ (x_2, y_2)$) and the centers of the two desired circles are at the four vertices of a rhombus with side length $r$. To use the calculator, enter the x and y coordinates of a center and radius of each circle. Circle showing radius and diameter. Parametric equation of a circle While the efforts of ancient geometers to accomplish something that is now known as impossible may now seem comical or futile, it is thanks to people like these that so many mathematical concepts are well defined today. What is the radius of a circle given two points and the center of the circle is perpendicular to one of the points? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. The unknowing Read More Our equation of the circle calculator finds not only these values but also the diameter, circumference, and area of the circle all to save you time!