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) (Show Source): You can put this solution on YOUR website!
There are radians in a circle.
The circumference, of a circle is where
is the diameter
The fraction of the circumference of an arc which is in
length is
The fraction of radians of this arc is
radians
The measure, in radians, of the central angle =
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