Question

A circle has a center point upper C. Points upper D, upper E, upper F and upper G lie on the circumference of the circle.
▶Click for Long Desc

If the radius of circle C
is 8 mm and m∠FCE=60°
, then find the exact measure of FG¯¯¯¯¯¯¯¯
.

(1 point)
FG=

mm

Answer 1

FG = 2R sin(θ/2) with R = 8 and θ = 60°
FG = 2(8) sin(30°) = 16(1/2) = 8

So FG = 8 mm.