Find the center and radius of the circle with equation (x - 3) ^2 + (y - 6) ^2 = 4.

Question

Mathematics

Ian Gilmore

27 July, 02:49

Find the center and radius of the circle with equation (x - 3) ^2 + (y - 6) ^2 = 4.

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Answers (1)

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Rafael Cole · Answer 1

To find the center and radius given your equation, remember (x-h) ^2 + (y-k) ^2 = r^2, where (h, k) is the center of the circle and r is the radius. In your equation, h = 3 and k = 6 and since 2^2 = 4 your r value is 2. So the center is at (3,6) and the radius is 2.