Given the radius and the center determine the equation of a circle

Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of the circle and the center of the circle is called the radius of the circle.

To write the equation of a circle, we need to know the length of the radius of the circle and the coordinate point of the center of the circle. Given a circle whose center is at (h, k) and the length of the radius is r, the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2.
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