Multiple Choice Questions on If an equilateral triangle whose outer radius is 10 radic 3 cm Find the area of the inner circle nbs........... for CDS Exam Preparation

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Multiple Choice Questions

If an equilateral triangle whose outer radius is 10 radic 3 cm Find the area of the inner circle nbs...........

Quantitative Aptitude (CDS) Geometry
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    If an equilateral triangle whose outer radius is 10 √3 cm. Find the area of the inner circle? 

    270.33cm^{2}

    Incorrect Answer

    235.71cm^{2}

    Correct Answer

    230cm^{2}

    Incorrect Answer

    250cm^{2}

    Incorrect Answer
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    Explanation:

    Outer radius 10√3 cm

    Cos30 =base/diagonal

    √3/2 =base/(10√3)

    15cm=base

    Side =30 cm

    Tan30 =perpendicular/base

    1/√3  =perpendicular/15

    Perpendicular=15/√3

    Radiusof inner circle=15/√3

    Area=22/7  (15/√3) ^2

           =22×225/21

    =235.71

    Outer radius 10√3 cm

    Cos30 =base/diagonal

    √3/2 =base/(10√3)

    15cm=base

    Side =30 cm

    Tan30 =perpendicular/base

    1/√3  =perpendicular/15

    Perpendicular=15/√3

    Radiusof inner circle=15/√3

    Area=22/7  (15/√3) ^2

           =22×225/21

    =235.71cm^{2}

    By: bhavesh kumar singh
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