In a circle of radius 11 cm, an arc of length 23.1 cm is formed by what central angle?

Question

angle measure   radians

angle measure   degrees.

Answer 1

To solve this problem, you can use the arc length formula for a circle.

s = rθ

where s = arc length, r = radius, θ = central angle (in radians)

So, we can plug in the numbers given to us,

(23.1) = (11)θ

Solve for θ by dividing by both sides of the equation by 11,

2.1 = θ

Therefore the central angle is 2.1 radians.

Answer 2

23.1 / 11 = 2.1^r

1^r = 180° / π

2.1^r = 378° / π

2.1^r ≈ 120.32°