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Math

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Find the area of a circular segment of a circle of radius 7cm that sub tends a central angle of 35 degrees?

  • Math - ,

    area of sector/area of circle = 35/360
    area of sector /49π = 7/72
    area of sector = 343π/72

    area of triangle with the chord as its base
    = (1/2)(7)(7)sin35°
    = (49/2)sin35 , Using area of triange = (1/2)(a)(b)sinØ
    where a and b are sides with Ø the contained angle

    area of segment = 343π/72 - (49/2)sin35°
    = ....

    you do the button-pushing if you need a decimal answer

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