Question

The circle with center O has a radius of 9 centimeters. If x=60 degrees, what is the length of arc AB?

A.) 3 pi cm
B.) pi/6 cm
C.)pi/3 cm
D.)9pi/2 cm

Answer 1

A.) 3 pi cm

Explanation:

The formula for arc length (s) as a function of radius (r) and central angle (θ) in radians is ...

... s = rθ

Here, you have r=9 cm and θ=(60°/180°)π = π/3 radians, so the arc length is ...

... s = (9 cm)·π/3 = 3π cm