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Math/Trig

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Find the area of a sector of a circle with a radius of 3 m and a central angle of 125degrees.

  • Math/Trig -

    Area K = 1/2 r^2 * angle in rads
    Convert deg to rads
    125 deg * pi/180 = 25pi/36 rads

    K = 1/2 * 3^2 * 25pi/36
    K = ? m^2

    you do the math
    Area K is expressed in m^2 (in this case)

  • Math/Trig -

    area of whole circle = 9π
    area of sector = (125/360)(9π) = appr. 9.8 m^2

  • Math/Trig -

    Area of circle:
    A=r^2*pi

    Area of your sector=r^2*pi*(125/360)=3^2*pi*125/360=9*pi*125/360
    =9*3.1415926535*125/360
    =3534,2917351875/360
    =9,8174770421875 m^2

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