Question

Given a circle in the complex plane with a diameter that has endpoints at: -12 − i and 18 + 15i Find the center of the circle. + i

Answer 1

Answer:

3+7i :) on edge nuity haha uh cool

Answer 2

Answer: The center of the circle is 3+7i

Explanation: Let z1 and z1 be the two end points and c be the center to be determined. The center lies half of the difference between z1 and z1, measured from z1:

$z_1=-12-i\\z_2=18+15i\\c=z_1+\frac{z_2-z_1}{2}=-12-i +15+8i=3+7i$