In this video I discuss the equation of a circle and show how to graph it. I also prove that the distance from any point on the circle from the center of the circle is just the radius of the circle. The circle and its equation are used in many applications so make sure you have a thorough understanding of it!

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Equation of a Circle

Introduction

Proof

Proof that all points in the circle are a distance r from the center.

Example

Write the equation of a circle with radius 4 and center at the origin (0,0).

Solution: