Question

If the arc on a particular circle has an arc length of 12 inches, and the circumference of the circle is 48 inches, what is the angle measure of the arc?

Answer 1

12/48 = .25
--> .25×360 = 90°, or pi/2 radians

Answer 2

The angle measure of the arc is 90°.

Explanation:

Givens

• The arc length is 12 inches.
• The circumference is 48 inches.

We can solve this poblem using the rule of three.

If 48 inches represents 360°, then 12 inches how many degrees would represents?

`\theta =12in(360\°)/(48in)=(4320)/(48) = 90\°`

Therefore, the angle measure of the arc is 90°.