reigna244663 reigna244663
  • 27-05-2021
  • Mathematics
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What is the length of the arc shown in​ red?

What is the length of the arc shown in red class=

Respuesta :

jimrgrant1 jimrgrant1
  • 27-05-2021

Answer:

≈ 18.8 cm

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

The central angle is equal to the arc subtending it, that is 60°

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

        = 2π × 18 × [tex]\frac{1}{6}[/tex]

        = 36π × [tex]\frac{1}{6}[/tex]

        = 6π ≈ 18.8 cm ( to 1 dec. place )

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