SOLUTION: what is the size, in degrees, of the angle subtended by an arc of 1 2/3 ft in a circle whose radius is 45 in?

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Question 254505: what is the size, in degrees, of the angle subtended by an arc of 1 2/3 ft in a circle whose radius is 45 in?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have the formula
%28L+%2F+2pir%29+=+d%2F360
First, we need to convert to same units, so, 1 2/3 ft = 18 in.
Using substitution, we get
%2818+%2F+%282pi%2A45%29%29+=+d%2F360
cross multiplying, we get
18%2A360+=+d%282pi%2A45%29
76%2Fpi+=+d
which is d ~ 24.192 degrees.