## Question

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 radians is the central angle that intercepts the ant’s path?

## Answer (Expert Verified)

The movement of the **ant **illustrates the **length of an arc**

The **measure** of the **central angle **is 2.625 radians

### How to determine the central angle

The **radius **of the** arc** is given as:

The **distance walked **is given as:

The **length **of an **arc **is

So, we have:

Divide both sides by 8

Divide

Hence, the **measure** of the **central angle **is 2.625 radians