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?

1 answer

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
Similar Questions
  1. a diameter of a circle has endpoints (-9,5) and (5,5)Find the center of the circle using th midpoint formula find the radius you
    1. answers icon 1 answer
  2. A diameter of a circle has endpoints P(–10, –2) and Q(4, 6).Find the center of the circle. Find the radius. If your answer
    1. answers icon 1 answer
  3. A diameter of a circle has endpoints P(-7, 2) and Q(3, -8)a. Find the center of the circle. b. Find the radius. If your answer
    1. answers icon 3 answers
  4. A diameter of a circle has endpoints P(–10, –2) and Q(4, 6).Find the center of the circle. Find the radius. If your answer
    1. answers icon 1 answer
more similar questions