Find the radian measure of the central angle of a circle of radius 8 feet that intercepts an arc of length 14 feet?

Solution:

Given radius of 8 feet and the arc length is 14 feet

We know that the arc length can be defined as the product of radius and central angle

Arc length = radius × central angle

L= r × θ

14 feet = 8 feet × θ

θ = 14/8

θ = 1.75°

We know that 1 Degree × (π/180) = 0.01745Rad

1.75 degrees × (π/180) = 0.01745 Rad × 1.75 = 0.03 radians

θ = 0.03 radians

The radian measure of central angle of 0.03

Find the radian measure of the central angle of a circle of radius 8 feet that intercepts an arc of length 14 feet?

Summary:

The radian measure of the central angle of a circle of radius 8 feet that intercepts an arc of length 14 feet is 0.03 radians.