Question

Given a circle with (3, 0) and (-2, -4) as the endpoints of its diameter, what is the center of the circle?

Answer 1

The center of the circle is (1/2, -2).

Step-by-step explanation:

The center of a circle can be found by taking the midpoint of its diameter. The midpoint is calculated by averaging the x-coordinates and the y-coordinates of the endpoints of the diameter. So for this question, the x-coordinate of the center is (3+(-2))/2 = 1/2, and the y-coordinate of the center is (0+(-4))/2 = -2. Therefore, the center of the circle is (1/2, -2).