Question

Find the missing

information.
Arc length-1.5 ft
Radius-?
Central angle-pie/4 rad
Round to the nearest thousandth.

Answer 1

1.91 ft

Explanation:

Formula

• l = rα

where :

1. l = arc length
2. r = radius
3. α = central angle

Solving for r

• l = rα
• r = l/α
• r = 1.5/(π/4)
• r = 6/π
• r = 1.90985932 ft
• r = 1.91 ft (nearest thousandth)