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What is the equation of a circle centered at the origin with radius 15?

Question

What is the equation of a circle centered at the origin with radius 15?

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Solution

The equation of a circle centered at the origin (0,0) with radius r is given by the formula x² + y² = r².

So, if the radius is 15, you substitute r = 15 into the formula to get:

x² + y² = 15²

Therefore, the equation of the circle is x² + y² = 225.

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