young1321 young1321
  • 29-03-2019
  • Mathematics
contestada

find the area of a sector with an angle of 180 and a diameter of 5.6

Respuesta :

MrSmoot MrSmoot
  • 29-03-2019

Answer:

 S = 3.92π

Step-by-step explanation:

The formula for area of a sector is

S = (Ф/360°)πr²    where Ф is the angle of the sector in degrees, and r is the radius.

The radius is half of the diameter, so we have 5 = 5.6/2 = 2.8, and Ф = 180°

The area is

S = (180°/360°)π(2.8)²

   S = (1/2)π(7.84)

          S = 3.92π  

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