Question

Find the length of an arc of 40° in a circle with an 8 inch radius.

Answer 1

Answer:

The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,

                                  L (arc) = (Angle / 360) x 2πr

Substituting the known values,

                                  L (arc) = (40 / 360) x 2π(8 inch)  = 16π/9 inch

Thus, the length of the arc is approximately equal to 5.585 inches. 

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