An ant is walking around the perimeter of a circular wreath with a radius of 8 inches. If the ant walked 21 inches, how many rad

Question

2 years ago

7

ians is the central angle that intercepts the ants path?

1 answer:

Butoxors [25] · Answer 1 · 2023-01-24T22:33:16+03:00

The movement of the ant illustrates the length of an arc

The measure of the central angle is 2.625 radians

<h3>How to determine the central angle</h3>

The radius of the arc is given as:

$r = 8$

The distance walked is given as:

$L = 21$

The length of an arc is

$L = r\theta$

So, we have:

$21 = 8\theta$

Divide both sides by 8

$\theta = \frac{21}{8}$

Divide

$\theta = 2.625$

Hence, the measure of the central angle is 2.625 radians