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A diameter of a circle has endpoints P(-10, -2) and Q(4, 6).

a. Find the center of the circle.

b. Find the radius. If your answer is not an integer, express it in radical form.

c. Write an equation for the circle.

Can someone explain how to do this?

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1 answer

  1. the center of the circle is the midpoint of the diameter: (-3,2)
    The length of the diameter is √(14^2+8^2) = √260 = 2√65
    so, the radius is √65

    That means the equation is
    (x+3)^2 + (y-2)^2 = 65

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