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Formula of Circle

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A circle is the set of points that lie at a constant distance from one point, the center of the circle. This solution explains the equation of a circle with a center point that can exist anywhere on the coordinate plane.

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Solution Summary

This solution shows how the formula for a circle is derived from the Pythagorean theorem. The complete formula including center point coordinate values other than (0,0) is discussed.

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Formula For A Circle
The center point for a circle can be located anywhere within the coordinate plane.
All of the points on the circle are a constant distance from the center point. This distance is known as the radius of the circle.

Working from the Pythagorean Theorem, we know that we can relate the length of the hypotenuse and the two legs of a right triangle by the following formula.

a^2 + b^2 ...

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