Deriving the Equation of a Circle Using the Pythagorean Theorem

This video tutorial explains how to derive the equation of a circle centered at the origin using the Pythagorean theorem. It begins with a review of the Pythagorean theorem and its application to right triangles. The tutorial then defines a circle and its properties, such as the center and radius. By applying the Pythagorean theorem, the video derives the equation x^2 + y^2 = r^2 for a circle centered at the origin. Examples are provided to illustrate how to find the equation of specific circles and determine if points lie on them.

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