Question

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.

What is the arc length?
Use 3.14 for π
and round your final answer to the nearest hundredth.
Make sure to show your calculations.

Answer 1

360 degrees = 2 PI radians
Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI = 169.0176847631
arc length = (324 / 360) * 169.0176847631
arc length = .9 * 169.0176847631
arc length = 152.1159162868 m

Answer 2

152.04 For anybody that still needs the answer.

Explanation: