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Length

The length (more precisely, arc length) of an arc of a circle with radius r and subtending an angle ? (measured in radians) with the circle center -- i.e., the central angle -- is

:

This is because

:

Substituting in the circumference

:and, with ? being the same angle measured in degrees, since ? = , the arc length equals

: A practical way to determine the length of an arc in a circle

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