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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

Best Answer 

 #1
avatar+560 
+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
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2+0 Answers

 #1
avatar+560 
+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
 #2
avatar+83 
+1

Thank you for all your help. I tried doing this one multiple times by myself, but I didn't know it was equal to 180 instead of 3.14.

RedBlue  Mar 21, 2018

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