A circle has a radius of 3 inches, how do you find the length of an arc intercepted by a central angle whose measure is 2.5 radians?

Solution:

We know that

Arc length is denoted as s = rθ

Where r is the radius

θ is the angle in radians

θ = 2.5 radians

r = 3 inches

Substituting the values in the formula

s = 3 × 2.5

s = 7.5 inches

Therefore, the length of the arc is 7.5 inches.

A circle has a radius of 3 inches, how do you find the length of an arc intercepted by a central angle whose measure is 2.5 radians?

Summary:

A circle has a radius of 3 inches, the length of an arc intercepted by a central angle whose measure is 2.5 radians is 7.5 inches.