Question

question 16 of 30
if ( r = 1 ) and ( \theta=\frac{pi}{6} ), what is the approximate arc length?
a. 0.785 units
b. 0.524 units
c. 1.571 units
d. 1.047 units

Explanation:

Step1: Recall arc length formula

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

Step2: Substitute values

$r=1$, $\theta=\frac{\pi}{3}$ → $s=1\times\frac{\pi}{3}$

Step3: Calculate approximate value

$\frac{\pi}{3}\approx\frac{3.1416}{3}\approx1.047$

Answer:

D. 1.047 units