A central angle of a circle that measure pi/3 radians intercepts an arc that is 12 cm. What is the radius of the circle?

π3

1 Answer
May 17, 2018

r=36π cm

Explanation:

Given s=12 cm where s is the arclength and θ=π3 where θ is the central angle.

The following equation describes their relationship to the radius:

s=rθ

Solve for r:

r=sθ

Substitute the values:

r=12 cmπ3

r=36π cm