Respuesta :

The length of an arc AB from the given circle with radius 6in is 15.7in

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = r theta

where

r is the radius = 6in

theta is the central angle = 150 degrees = 5/6π rad

Substitute

L = 6(5/6π)

L = 5π

L = 5(3.14)

L = 15.7in

Hence the length of an arc AB from the given circle with radius 6in is 15.7in

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