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  • 03-11-2022
  • Mathematics
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Find the area of the shaded sector of the circle. Leave your answers in terms of pi

Find the area of the shaded sector of the circle Leave your answers in terms of pi class=

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SuhaylahC9995 SuhaylahC9995
  • 03-11-2022

Answer:

D. 8pi yd^2

Explanation:

Area of a sector is expressed as;

[tex]A\text{ = }\frac{\theta}{360}\times\pi r^2[/tex]

r is the radius of the circle

theta is the angle substended at the centre

Given the following

r = 9yd

theta = 360-200

theta = 160degrees

Substitute

A = 160/360 * pi(9)^2

A = 4/9*18pi

A = 72pi/9

A = 8pi yd2

Hence the area of the shaded sector is 8pi yd2

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