Question

Find the equation of the circle that has diameter endpoints of (2, 2) and (20, 26). A. (x - 8)2 + (y - 11)2 = 324 B. (x - 11)2 + (y - 14)2 = 144 C. (x - 11)2 + (y - 14)2 = 225 D. (x - 8)2 + (y - 11)2 = 15

Answer 1

The midpoint of (2,2) and (20,26) is (11,14).

This means that k and h in the equation will be 11 and 4.

To find the radius, divide the diameter by 2.

The diameter is 18. 18/2 = 9.

The equation will be (x - 11)^2 + (y - 14)^2 = 81