Question

9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)

4pi in.
8pi ft
16pi in.
48pi in.

Answer 1

The length of the arc is 4π.

Explanation:

Given,

• Diameter = 24 ft
• radius, r = diameter/2
• r = 24/2 = 12 ft
• central angle, ∅ = 60°

Arc length = ∅/360° (2πr)

⇒ 60°/360° (2π
`*`12)

⇒ 24π/6

⇒ 4π

∴ The length of the arc is 4π.