Subject

    Quantitative Aptitude

    Topic

    Mensuration

    The area of a circular field is 3850m2. Find the cost of fencing the field at Rs.4 per meter.

    ক)
    Rs. 889.85
    খ)
    Rs. 808
    গ)
    Rs. 880
    ঘ)
    Rs. 885.6
    ঙ)
    None of these

    Explanation

    Area = 3850m2 We know that area of a circle = πr 2 , where r is the radius of the circle Therefore, 3850 = πr 2 22/7 r 2 = 3850   (taking π = 22/7) r 2 = (3850 × 7)/22 r 2 = 1225 r = 35 m We know that the cost of fencing = perimeter of the field × cost per meter Perimeter of the field = 2 π r = 2 × 22/7 × 35           [perimeter of circle = 2 π r] = 220 m Therefore the cost of fencing = Rs. (220 × 4) = Rs. 880 Hence, the cost of fencing the field is Rs. 880.

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