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OK, for this problem we're going to use our arc length formula.
So S equal R Theta where Theta has to be in radiance.
So S equals the radius.
We don't know, but we do know the diameter of 14, so the
radius has got to be 14 / 2.
The angle measures 55°, but for S equal R Theta, the angle had
to be in radiance.
So we're going to convert degrees to radians by
multiplying by π / 180.
So 55° * π / 180° simplifies to eleven π / 36.
If we multiply that by the seven and read the directions of round
to the nearest 10th, we're going to get 6.7 inches.