How long is the arc intersected by a 2pi/3 radian central angle in a circle with radius 7 feet?

Formula to find the central angle is,

Where, s = arc length

r = radius

= central angle in radian.

According to the given problem,

r = 7 and .

First step is to plug in these values in the above formula. So,

By simplifying.

Since

s=14.65

Hence, arc length iss 14.65 feet.

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