SOLUTION: Nicole's fan has an arc length of 38 cm and subtends a central angle of 120 degrees. What is the length of the radius of the fan? Express your answer in terms of pi.

Algebra ->  Circles -> SOLUTION: Nicole's fan has an arc length of 38 cm and subtends a central angle of 120 degrees. What is the length of the radius of the fan? Express your answer in terms of pi.      Log On


   

Question 1104864: Nicole's fan has an arc length of 38 cm and subtends a central angle of 120 degrees. What is the length of the radius of the fan? Express your answer in terms of pi.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Nicole's fan has an arc length of 38 cm and subtends a central angle of 120 degrees.
What is the length of the radius of the fan? Express your answer in terms of pi.
:
120%2F360*2%2Api%2Ar = 38
1%2F3*2%2Api%2Ar = 38
multiply both sides by 3, gets rid of the fraction
2%2Api%2Ar = 3(38)
2%2Api%2Ar = 114
r = 114%2F%282%2Api%29
Cancel the 2
r = 57%2Fpi cm