jarrienatasia0104
jarrienatasia0104 jarrienatasia0104
  • 08-09-2019
  • Mathematics
contestada

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Respuesta :

jimrgrant1 jimrgrant1
  • 08-09-2019

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × [tex]\frac{60}{360}[/tex]

     = 2π × 5 × [tex]\frac{1}{6}[/tex]

     = [tex]\frac{10\pi }{6}[/tex] ≈ 5.24 in (2 dec. places )

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