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17 August, 14:45

a circle with radius 5 has a sector with a central angle of 9/10pi radians what is the area of the sector

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  1. 17 August, 18:43
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    (9 / 10) * PI radians =.9 * PI = 2.8274333882 radians

    Sector Area = Central Angle in Radians / 2 * radius^2

    Sector Area = 2.8274333882 / 2 * 5 * 5

    Sector Area = 1.4137166941 * 25

    Sector Area = 35.3429173525

    Using degrees:

    Sector Area = (162 degrees / 360) * PI * radius ^2

    Sector Area =.45 * PI * 25

    Sector Area = 35.342917352
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