The center of a circle is the same as the midpoint on a lone segment. If the center of the circle C=(5,-2) and the endpoints F and G that pass through the circle are F=(8,4) and G=(-x,6)

Question

A) Find the value of x that generates the other endpoint G

B) Find the distance of line FG to the nearest 100th

C) Find the circumference and area of the circle to the nearest 100th

(note area is always measured in square units)

Answer 1

1. Use the distance formula (look it up in your book or on-line) to find the distance between points C and F. Since C is a midpoint, the distance between C and G is the same. Use the distance formula between points C and G, set it equal to the distance between C and F, then solve for x.
2. Since C is a midpoint, FG = 2·CF
3. Circumference = 2·π·r, where r is the radius and r = CF