# Geometry

posted by Ember Lovet

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

a. Find the center of the circle.

c. Write an equation for the circle.

Can someone explain how to do this?

1. Steve

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

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

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