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Find the center and radius?

How do you name the center and radius of this equation?

(x-1)^2 + (y-3)^2 = 4

2 Answers

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  • 8 years ago
    Favorite Answer

    The equation (x - h)² + (y - k)² = r² has a graph that is a circle of radius r centered at (h, k). Comparing this to your equation

    h = 1, k = 3 and r = 2 (since r² has to be 4).

    So the center is (1, 3) and the radius is 2.

  • 8 years ago

    Equation for a circle centered at the poin (h,k) with radius 'r'

    (x-h)^2 + (y-k)^2 = r^2

    So for

    r^

    (x-1)^2 + (y-3)^2 = 4

    You have a center of (1,3) and a radius of 2 (since r^2 = 4 and thus r = 2)

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