erineferguson05
erineferguson05 erineferguson05
  • 21-04-2020
  • Mathematics
contestada

Find the length of the darkened arc. Leave your answer in terms of pi.​

Find the length of the darkened arc Leave your answer in terms of pi class=

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Hrishii
Hrishii Hrishii
  • 21-04-2020

Answer:

[tex] \frac{15 }{4} \pi \:[/tex]

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

[tex]length \: of \: arc \\ = \frac{150 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{150 \degree}{360 \degree} \times 2 \times \pi \: \times 9\\ \\ = \frac{5 }{12 } \times 18 \times \pi \: \\ \\ = \frac{5 }{4} \times 3\times \pi \:\\ \\ = \frac{15 }{4} \pi \:[/tex]

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