Question

if ( r = 1 ) and ( \theta=\frac{4 pi}{3} ), what is the approximate arc length?

a 3.665 units
b. 3.927 units
c. 1.333 units
d. 4.189 units

Explanation:

Step1: Recall arc length formula

Arc length $s = r\theta$ (θ in radians)

Step2: Substitute values

$s = 1 \times \frac{4\pi}{3} = \frac{4\pi}{3}$

Step3: Calculate approximate value

$\frac{4 \times 3.1416}{3} \approx 4.1888$

Answer:

D. 4.189 units