candacesherrin100
candacesherrin100 candacesherrin100
  • 30-07-2020
  • Mathematics
contestada

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given
that m angle DCE= 60°. Find an exact answer in terms of pie​

The circle below has center C and its radius is 4 feet Find the area of the sector with central angle DCE giventhat m angle DCE 60 Find an exact answer in terms class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 04-08-2020

Answer:

[tex]area = \frac{8}{3}pie ft^2[/tex]

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = [tex] \frac{60}{360}*pie*4^2[/tex]

[tex] area = \frac{1}{6}*pie*16[/tex]

[tex] area = \frac{1*16}{6}*pie[/tex]

[tex] area = \frac{16}{6}*pie[/tex]

[tex]area = \frac{8}{3}pie ft^2[/tex]

Area of the sector = 8/3π ft²

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