Question

Points (3,2) and (-5,6) are endpoints of the diameter of a circle.

A) what is the length of the diameter? Give the exact answer, simplified as much as possible.

B) what is the center point C of the circle?

C) given the point C you found in part (B) state the point symmetric to C about the x-axis.

Answer 1

A.8 B.(-1,4) C.(1,4)

Explanation:

First, know that (3,2)=(x1,y1) and (-5,6)=(x2,y2)

A. The diameter is 8, given the diference between x1 and x2: 3-(-5)=8

B. The center point is given by (x1+x2)/2 and (y1+y2)/2

(x1+x2)/2 and (y1+y2)/2 = (3-5)/2 and (2+6)/2 = (-1,4)

C. The symmetric point of C about the x-axis is (1,4)