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.

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asked Apr 13, 2018 11.7k views

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Ganessa · Answer 1 · 2018-04-19T06:32:56+0000

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

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.

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