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Find the length of the arc shown in red. Leave your answer in terms of π

Find the length of the arc shown in red. Leave your answer in terms of π-example-1

2 Answers

6 votes
2pi x r (0/360)
42pi(60/360)
Answer 7pi
User Batichico
by
8.4k points
3 votes

Answer:

  • 14π

-------------------------

The arc in red has the measure of:

  • 180° - 60° = 120°

The diameter is d = 42 ft.

Use arc length formula:

  • s = πd(α/360), where α is the arc measure in degrees

Substitute 42 ft for d and 120° for α:

  • s = 42π(120/360) = 42π/3 = 14π feet
User Cillierscharl
by
8.1k points

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