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A circle has a radius of 6 ft.

What is the area of the sector formed by a central angle measuring 5π3 radians?

Use 3.14 for pi.

Answer :

areasector=radiansangle/2pi times area of circle


area=pir^2
r=6
area=pi6^2
are=36pi


(5pi/3)radians
sector=(5pi/3)/2pi times 36pi
sector=5pi/6pi times 36pi
sector=5/6 times 36pi
sector=30pi square feet
for 3.14 is pi
sector=94.2 square feet

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