geometry

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What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6 m?

  • geometry -

    Radius = 4.6/2 = 2.3
    Area = pi*(2.3)^2*(210/360)

  • geometry -

    If your quesions refers to circle then:

    Area of a circle:

    A = r ^ 2 * π


    210 ° / 360 ° = 2 * 3 * 5 * 7 / 2 ^ 3 * 3 ^ 2 * 5 =

    7 / 2 ^ 2 * 3 =

    7 / 4 * 3 = 7 / 12


    A(210°) = r ^ 2 ∙ π * 7 / 12

    A(210°) = 7 * r ^ 2 ∙ π / 12

  • geometry -

    r = d / 2

    r = 4.6 / 2

    r = 2.3 m

    r ^ 2 = 2.3 ^ 2

    r ^ 2 = 5.29

    A(210°) = 7 * r ^ 2 ∙ π / 12

    A(210°) = 7 * 5.29 ∙ π / 12

    A(210°) = 37.03 ∙ π / 12

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