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
Hence, the measure of the central angle is 2.625 radians