Question

what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
a. ( 8pi )
b. ( \frac{4pi}{5} )
c. ( \frac{16pi}{5} )
d. ( \frac{8pi}{5} )

Explanation:

Step1: Convert degrees to radians

$\theta = 72^\circ \times \frac{\pi}{180^\circ} = \frac{2\pi}{5}$

Step2: Apply arc length formula

$s = r\theta = 4\times\frac{2\pi}{5}$

Answer:

D. $\boldsymbol{\frac{8\pi}{5}}$