katelynmartinez08 katelynmartinez08
  • 07-06-2017
  • Mathematics
contestada

What is the radius of a circle in which a 30° arc is 2 inches long?

24 inches
12 inches
2√3 inches

Respuesta :

Season4Ever
Season4Ever Season4Ever
  • 07-06-2017
12 inches.

Good luck!
Answer Link
lyjerrial lyjerrial
  • 25-04-2022

Answer:

12 inches

Step-by-step explanation:

2 = arc length

30 degrees = m arc AB

Formula

arc length = m arc AB / 360 degrees (2πr)

Plug in formula

           2 = 30/360 (2πr)

           2 = 60πr/360

  (360)2 = 60πr/360 (360)

       720 = 60πr

720/60π = 60πr/60π

          12 = r

Answer Link

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