What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

Solution:

θ = 72° = 72 × (π/180) = 2π/5 radians

Also given that, radius, r = 4

In a circle, the length of an arc is a portion of the circumference. The letter 's' is used to represent arc length.

∴ Arc length, s = rθ, where s is measured in radians

s = 4 × 2π/5 = 8π/5

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

Summary:

The arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4 is 8π/5.