Deriving the Equation of a Circle using the Pythagorean Theorem

The video tutorial explains how to derive the equation of a circle using the Pythagorean theorem. It begins by reviewing the theorem and its application in right triangles. The tutorial then introduces the components of a circle, namely the center and radius, and uses these to derive the circle equation. By forming a right triangle within the circle, the video demonstrates how to calculate distances using x and y coordinates, leading to the final equation: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

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