Question

Q5 Q1.) Find the length of the​ arc, s, on a circle of radius r intercepted by a central angle theta. Express arc length in terms of pi. Then round your answer to two decimal places.

Answer 1

arc, s = 2$\pi$ * radius * angle / 360
= 2$\pi$ * 12 * 190 / 360
= (38/3)$\pi$ 
= 12 2/3 $\pi$ feet
= 39.79 feet

Answer 2

s = r$\theta$ = 12 * 190/360 * 2 * $\pi$

= 38/3 * $\pi$ feet

= 39.79 feet