+83 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.
+654 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.
+654 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.
