9w276yxyy3
9w276yxyy3 9w276yxyy3
  • 11-03-2021
  • Mathematics
contestada

In the diagram below of circle 0, GO = 8 and
mZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?

In the diagram below of circle 0 GO 8 and mZGOJ 60 G 8 60 What is the area in terms of A of the shaded region class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 16-03-2021

Answer:

[tex] \frac{80\pi} [/tex]

Step-by-step explanation:

Area of shaded region = θ/360 × πr²

Where,

θ = 360 - 60 = 300°

r = 8

Plug in the values

[tex] area = \frac{300}{360} * \pi * 8² [/tex]

[tex] = \frac{5}{6} * \pi * 64 [/tex]

[tex] = \frac{5*\pi*64}{6} [/tex]

[tex] = \frac{5*\pi*16} [/tex]

[tex] = \frac{80\pi} [/tex]

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