Chapter 6.1, Problem 91AYU

To determine

To find: The length of the arc $\left(s\right)$ .

Answer to Problem 91AYU

Solution:

i. $s=3\pi$

ii. $s=5\pi$

Explanation of Solution

Given:

  $r=6$ inches

Calculation:

  $\frac{360°}{60 \text{minutes}}=6 \text{degrees per minute}$

  $15 \text{minutes}=90°=\frac{\pi }{2}$

  $25 \text{minutes}=150°=\frac{5\pi }{6}$

  $s=r\theta$

i. $s=6\times \frac{\pi }{2}$

  $s=3\pi$ or 9.42 inches

ii. $s=6\times \frac{5\pi }{6}$

  $s=5\pi$ or 15.71 inches