Question

If a circle has a central angle of 2π3
2
𝜋
3
and a radius of 27 millimeters, how long is the arc formed by that angle?(1 point)
Responses

67.5π2 mm
67.5
𝜋
2

𝑚
𝑚
67.5π2 mm
67.5
𝜋
2

𝑚
𝑚

15π mm
15
𝜋

𝑚
𝑚
15π mm
15
𝜋

𝑚
𝑚

18π mm
18
𝜋

𝑚
𝑚
18π mm
18
𝜋

𝑚
𝑚

5π18 mm

Answer 1

Arc length s = r·θ. Here θ = 2π/3 and r = 27, so
s = 27·(2π/3) = 54π/3 = 18π mm.

Answer: 18π mm.