Question

if ( r = 1 ) and ( \theta=\frac{5pi}{6} ), what is the approximate arc length?
a. 3.927 units
b. 0.883 units
c. 15.708 units
d. 2.618 units

Explanation:

Step1: Recall arc length formula

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

Step2: Substitute values

$s = 1 \times \frac{5\pi}{4}$

Step3: Calculate approximate value

$\frac{5\pi}{4} \approx \frac{5 \times 3.1416}{4} = 3.927$

Answer:

A. 3.927 units