monkey11616 monkey11616
  • 16-04-2021
  • Mathematics
contestada

please help me with this quick :))))))))

please help me with this quick class=

Respuesta :

jimrgrant1 jimrgrant1
  • 16-04-2021

Answer:

129.3 in²

Step-by-step explanation:

The shaded segment is calculated as

area of sector ABC - area of triangle ABC

area of sector = area of circle × fraction of circle

A = πr² × [tex]\frac{60}{360}[/tex]

   = π × 18² × [tex]\frac{1}{6}[/tex]

   = 324π × [tex]\frac{1}{6}[/tex] = 54π in²

area of Δ ABC = [tex]\frac{1}{2}[/tex] × 18 × 18 × sin60°  ≈ 40.30 in²

Then

shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )

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