Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

    ক)
    1.967
    খ)
    1.867
    গ)
    1.767
    ঘ)
    1.567

    Explanation

    required area = (area of an equilateral triangle of side 7 cm)- (3 * area of sector with à = 60 degrees and r = 3.5cm) (34∗7∗7)−(3∗227∗3.5∗3.5∗60360)\left(\frac{\sqrt3}4\ast7\ast7\right)-\left(3\ast\frac{22}7\ast3.5\ast3.5\ast\frac{60}{360}\right) sq cm (34∗49)−(11∗0.5∗3.5)\left(\frac{\sqrt3}4\ast49\right)-\left(11\ast0.5\ast3.5\right) sq cm = 1.967 sq cm

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