Question

consider circle n with radius 30 cm and $\theta = \frac{\pi}{6}$ radians. what is the approximate length of minor arc lm? round to the nearest tenth of a centimeter. 12.4 centimeters 15.7 centimeters 31.4 centimeters 36.7 centimeters

Explanation:

Step1: Recall arc length formula

The formula for arc length $s$ when the central angle $\theta$ is in radians is $s = r\theta$, where $r$ is the radius of the circle.

Step2: Substitute given values

Substitute $r = 30$ cm and $\theta = \frac{\pi}{6}$ into the formula.
$s = 30 \times \frac{\pi}{6}$

Step3: Calculate and approximate

Simplify the expression and use $\pi \approx 3.1416$ to find the approximate value.
$s = 5\pi \approx 5 \times 3.1416 = 15.708$

Answer:

15.7 centimeters