If a sector in a circle of radius 10 has an area of 5π, what is the measure of the central angle that forms the sector?

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asked Feb 14, 2018 190k views

1 Answer

Terance · Answer 1 · 2018-02-19T11:51:48+0000

area of sector=sectorfraction times area
sector fraction=angle/360

area=pir^2
r=10
area=pi10^2=100pi

so
5pi/100pi=xdeg/360
1/20=x/360
times both sides by 360
18=x
answer is 18 degres

If a sector in a circle of radius 10 has an area of 5π, what is the measure of the central angle that forms the sector?

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