An arc is intercepted by a central angle of 2π/3 radians on a circle with a radius of 24 centimeters.

What is the exact length of the arc?

Enter your answer, in terms of π.

RedBlue
Mar 21, 2018

#1**+1 **

In this case pi is equal to 180 degrees, not 3.14159265358979323846...

2pi/3 is (2*180)/3 = 120. The center angle is 120 degrees which is 1/3 of the whole circle.

All we need to do is find the length of the circumference.

24 * 2 * pi = 48 pi

48 pi / 3 = 16 pi

16pi is the final answer.

supermanaccz
Mar 21, 2018

#1**+1 **

Best Answer

In this case pi is equal to 180 degrees, not 3.14159265358979323846...

2pi/3 is (2*180)/3 = 120. The center angle is 120 degrees which is 1/3 of the whole circle.

All we need to do is find the length of the circumference.

24 * 2 * pi = 48 pi

48 pi / 3 = 16 pi

16pi is the final answer.

supermanaccz
Mar 21, 2018