# Equation of a circle centered at the origin

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## 6.4.1: Circles Centered at the Origin

A circle centered at the origin has a centre at (0, 0) . If it has a radius r, the equation is: (x − 0) 2 + (y − 0) 2 = r 2 x2 + y2 = r2. This is the equation for a circle centered at the origin.

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## How To Find The Center and Radius of a Circle

x 2 + y 2 = r 2. This is the general equation of a circle that is centered at the origin. Example: What is the equation of the circle centered at the origin with radius 4? Solution: We are told that r = 4. The general equation is x 2 + y 2 = r 2, so the

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