+0  
 
0
428
2
avatar+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.

RedBlue  Mar 21, 2018

Best Answer 

 #1
avatar+628 
+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
avatar+628 
+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

42 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.