SOLUTION: A central angle intercepts an arc on a circle equal in length to the diameter of a circle. Find the measure, in radians, of the central angle.

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Question 131351: A central angle intercepts an arc on a circle equal in length to the diameter of a circle. Find the measure, in radians, of the central angle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2%2Api radians in a circle.
The circumference, C of a circle is C+=+pi%2Ad where
d is the diameter
The fraction of the circumference of an arc which is d in
length is d%2F%28pi%2Ad%29+=+1%2Fpi
The fraction of 2%2Api radians of this arc is
%281%2Fpi%29%2A2%2Api+=+2radians
The measure, in radians, of the central angle = 2