Equation of a Circle
Read this topicExplanations 7
- The general equation for a circle is (x−h)2+(y−k)2=R2(x-h)^2+(y-k)^2=R^2(x−h)2+(y−k)2=R2 Where the center of the circle is at (h,k)(h,k)(h,k), and the circle is all the points (…
By Evan Tong, Ray Li
- The general equation for a circle is (x−a)2+(y−b)2=r2(x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2 Where the center of the circle is at (a,b)(a,b)(a,b), and the circle is all the points (…
By Ray Li, Expii Team, Alex Federspiel
- Let us assume a problem asks for a graph of a circle, the equation of which is: x2+4x+y2+20y+4=0x^2+ 4x +y^2 +20 y +4=0x2+4x+y2+20y+4=0 The most important aspects of the graph t…
By Neelesh Ramachandran, Sherry Bai
- In the two-dimensional Cartesian Plane, we can write an equation representing a circle. This equation is the combination of all points on the circle, which happen to connect. Th…
By Joshua Siktar
- A circle is the locus of points equidistant from a point. Let's call this point O(x0,y0)O(x_0,y_0)O(x0,y0) and the distance rrr. The Pythagorean Theorem states that, given a r…
By Alexander Duan
- Circles (from the analytic geometry perspective) The formal definition of a circle is "the set of all points PPP at a fixed distance (called the radius, rrr) from a given point …
By Andrew Machkasov, Shourya Pandey
- Here is some extra practice on Equations of Circles, have fun!
By Freya Edholm
Problems 9
- A circle has a radius of 53\sqrt{53}53 and is centered at (7,2)(7, 2)(7,2). List all values of xxx for which (x,4)(x,4)(x,4) lies on the circle.
- Write the equation of the circle centered at (3,9)(3,9)(3,9) with radius 666.
- A circle has a radius of 555. Two of the points on the circle are (6,2)(6, 2)(6,2) and (0,10)(0, 10)(0,10). What is the center of the circle?
- A circle has a radius of 53\sqrt{53}53 and is centered at (7,2)(7, 2)(7,2). List all yyy-coordinates where the circle intersects the xxx-axis.
- If the equation of a circle is (x−1)2+(y−1)2=4(x-1)^{2} + (y-1)^{2} = 4(x−1)2+(y−1)2=4 Which of the following falls within the circle? Mark all that apply.
- If the equation of a circle is (x+1)2+(y−3)2=9(x+1)^{2} + (y-3)^{2} = 9(x+1)2+(y−3)2=9 Which of the following falls within the circle? Mark all that apply.
- It's time to play golf! Unfortunately for you, it's a windy day and the first hole of the course has a water hazard. You place down your tee and analyze the surroundings, trying…
- It's time to play golf! Unfortunately for you, it's a windy day and the first hole of the course has a water hazard. You place down your tee and analyze the surroundings, trying…
- The circle with equation (x−1)2+y2=4(x - 1)^2 + y^2 = 4(x−1)2+y2=4 intersects the parabola y=x2−2x+3y = x^2 - 2x + 3y=x2−2x+3 in one location on the real xyxyxy plane. Which of …