Circle Equations Worksheets

What Are Circle Equations? A circle is an active member of the geometrical shapes which are mostly used by mathematicians. By definition, a circle is known as the set of points on a plane which is on the same distance as the center point. In easier terms, the circle is a rounded shape with a center point which has the same distance as every point on the surface of the circle. The distance between the center and any point on the surface is called the radius. Now, just like every other geometrical figure, the circle has a set of equations for various situations. The most general form of equations is the circle which has the center present at the origin; hence, the equation becomes x2 + y2 = r2, where r is the radius. However, if the center doesn't lie on the origin, then the equation of the circle becomes (x-h)2 + (y-k)22 = r2, where r is the radius and (h, k) are the points of the origin. This equation is also called the standard form of the equation of a circle.

Here's a cute riddle:

A circle by any other name is just as round. How about another?
Try: Compasses travel in the best of circles!