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

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

User Rajesh Narravula
by
3.2k points

1 Answer

10 votes

Answer:

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)
User Prabhu
by
3.4k points
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