High School

Find the length of an arc of a circle whose central angle is 2.5 radians and its radius is 10 inches.

A. 15.7 inches
B. 25.0 inches
C. 31.4 inches
D. 39.3 inches

Answer :

Final answer:

The length of the arc is 25.0 inches. Therefore, the correct answer is : (b).

Explanation:

The length of an arc of a circle can be found using the formula:

arc length = angle (in radians) * radius

In this case, the central angle is 2.5 radians and the radius is 10 inches. Substituting these values into the formula, we get:

arc length = 2.5 * 10 = 25 inches

Therefore, the length of the arc is 25.0 inches.