Question

The area sector of a circle with radius 7 is 9 π/. What is the radian measure θ, the central angle of the sector? Express your answer in exact form.

Answer 1

Radian angle = 1.154

Central angle = 66.123°

Explanation:

Area of Sector, A

A = 1/2 * r² * θ ; θ measured in radian

A = 9 π

r = 7

9 π = 1/2 * 7² * θ

9 π = 24.5θ

θ = 9 π / 24.5

θ = 1.154 radian

1 radian = 57.296°

1.154 radian = (57.296 * 1.154)

1.154 radian = 66.123°