Subject

    Quantitative Aptitude

    Topic

    Mensuration

    What is the area of a circle whose radius is equal to the side of a square whose perimeter is 196 metres?

    ক)
    7176 sq. m
    খ)
    7546 sq. m
    গ)
    7284 sq. m
    ঘ)
    7956 sq. m
    ঙ)
    None of these

    Explanation

    Let ‘s’ be the side of  the square. Perimeter of square = 196 m ⇒ 4s = 196 ⇒ s = 196/4 ⇒ s = 49 m Radius of circle = r = Side of a square with perimeter 196 sq.m = 49 m ∴ Area of circle = πr 2 = π × 49 2 = π × 49 × 49 = 7546 sq.m

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