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.
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.
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.