Can I get the awnser to this?

Question

asked Jan 15, 2021 198k views

1 Answer

Sdcbr · Answer 1 · 2021-01-20T13:13:47+0000

Answer: 17.8 yds

Explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is:
$s=2\pi r\bigg((\theta)/(360^o)\bigg)$

Given r = 17, θ = 60°

$s=2\pi (17)\bigg((60^o)/(360^o)\bigg)\\\\\\.\quad =2\pi(17) \bigg((1)/(6)\bigg)\\\\\\.\quad =(17 \pi)/(3)\\\\\\.\quad =\large\boxed{17.8}$