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Arc Length
The length of an arc is the measure of the distance along the curved line.
Since the arc length of a complete circle with radius r is equal to the circumference, or 2π r , the length l of a smaller arc can be found using the formula
where C is the central angle of the arc in degrees .
Take for example the arc below, in which
C
= 108 and
r
= 5.
Then
If the central angle is measured in radians , the formula is simpler:
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