Find the radian measure of the centeral angle of a circle of radius r and arc length of s. a. R=22 ft and s=10ft

Question

asked Sep 4, 2021 215k views

1 Answer

Nate Beers · Answer 1 · 2021-09-10T23:14:09+0000

Answer:

$\theta=0.45rad$

Explanation:

The radian measure of the centeral angle of a circle of radius r and arc length of s, can be calculated using the relation:
$s=r\theta$

The radius is given as
r=22ft and the arc length is given as:
s=10ft

Let us substitute the values into the formula and solve for
$\theta$ .

This implies that:

$10=22\theta$

We divide both sides by 22

$(10)/(22)=\theta$

Therefore
$\theta=(5)/(11)$