SOLUTION: a ball is rolling in a circular path that has a radius of 10 inches. what distance has the ball rolled when the subtended arc is 54 degrees?

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Question 311276: a ball is rolling in a circular path that has a radius of 10 inches. what distance has the ball rolled when the subtended arc is 54 degrees?
Found 2 solutions by Fombitz, ankor@dixie-net.com:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a ratio.
If the ball traveled 360 degrees, the distance it moved would have been the circumference of the circle, 2%2Api%2AR
360%2F%282%2Api%2AR%29=54%2Fx
x=2%2Api%2AR%2A%2854%2F360%29
x=2%2Api%2A10%2A%2854%2F360%29
x=3%2Api inches

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a ball is rolling in a circular path that has a radius of 10 inches.
what distance has the ball rolled when the subtended arc is 54 degrees?
:
Find the circumference
C = 2%2Api%2A10
C = 62.83 in, that would be the distance if it rolled all the way around the circular path (360 degrees).
It only rolled 54 degrees, therefore
54%2F360 * 62.83 = 9.42 inches