In a circle of radius 2 inches, the length of the arc subtended by a central angle of 120° is approximately:

Question

In a circle of radius 2 inches, the length of the arc subtended by a central angle of 120° is approximate:

   inches

Round your answer to 2 decimal places if necessary.

Thank you!

Answer 1

I worked this last night but it obviously got lost.

Answer 2

First, convert 120° to radians by multiplying by π/180 to convert. θ=2π/3.

The arc length, s = rθ = 2(2π/3) = 4π/3 ≈ 4.19 inches.

Note: When I taught, I had my students leave the answer in terms of π because that is the exact value.