Question

The endpoints of a diameter of a circle are (-12, 3) and (2, 3).

Find the center and radius of the circle.
Write the standard equation of the circle.

Answer 1

Explanation:

To find the center, we can use the fact that it is the midpoint of the diameter. In this case, this means the center is (-5, 3).

To find the radius, we can use the fact that the radius is half the length of the diameter. Since the diameter has a length of 14, the radius is 7.

Therefore, the equation is (x+5)^2 + (y-3)^2 = 49.