Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

    ক)
    55.12 cm
    খ)
    22.54 cm
    গ)
    42.51 cm
    ঘ)
    38.57 cm

    Explanation

    We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm Therefore, side of the square is = 1/4 x 60 = 15cm Circumference of the required semicircle = πr  +  2r\mathrm{πr}\;+\;2\mathrm r = 227×  152  +  2×152\frac{22}7\times\;\frac{15}2\;+\;2\times\frac{15}2 = 23.57 + 15 = 38.57cm.

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