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31 March, 21:39

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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  1. 31 March, 22:06
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    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
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