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Give the equation of the circle centered at the origin with radius 10

Question

Give the equation of the circle centered at the origin with radius 10

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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

Given that the radius of the circle is 10, we substitute r = 10 into the formula to get:

x² + y² = 10²

Therefore, the equation of the circle centered at the origin with radius 10 is:

x² + y² = 100

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