Multiple Choice Questions on A circle of radius r is inscribed in a regular polygon with n sides the circle touches all sides of ........... for CDS Exam Preparation

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Multiple Choice Questions

A circle of radius r is inscribed in a regular polygon with n sides the circle touches all sides of ...........

Quantitative Aptitude (CDS) Mensuration 2D
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    A circle of radius r is inscribed in a regular polygon with n sides (the circle touches all sides of the polygon). If the perimeter of the polygon is p, then the area of the polygon is

    (p + n)r

    Incorrect Answer

    (2p - n)r

    Incorrect Answer

    pr/2

    Correct Answer

    None of the above

    Incorrect Answer
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    Explanation:

    Let each side of the regular polygon be a unit.
    Draw OC ⊥ AB

    OC = r
    Perimeter of regular polygon p = na
    Therefore, Area of the polygon


     

    By: Munesh Kumari
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