SOLUTION: Hi, I'm having trouble figuring out this problem: How many feet does a wheel with a diameter of 16 inches travel after four revolutions? Thank you.

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Question 1041315: Hi, I'm having trouble figuring out this problem:
How many feet does a wheel with a diameter of 16 inches travel after four revolutions?
Thank you.
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hi, I'm having trouble figuring out this problem:
How many feet does a wheel with a diameter of 16 inches travel after four revolutions?
Thank you.
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4%2Api%2Ad = 4%2A3.14%2A16 inches.

4 is the number of revolutions,
d is the diameter, pi = 3.14.

By the way, pi%2Ad is the length of the circle with the diameter d.

What is difficult in it?


Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The formula in finding the arc length is
s+=+r%2Atheta,
where s = arc length, r = radius, and theta = angular measure in radians.
Now theta+=+%284+rev%29%2A%28%282%2Api%29%2Frev%29+=+8%2Api, and radius = diameter/2 = 8 inches.
==> s+=+r%2Atheta+=+8%2A8pi+=+64pi inches.