Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.

    ক)
    56m
    খ)
    16m
    গ)
    14m
    ঘ)
    76m

    Explanation

    clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope. Let the length of the rope be r mts then πr2=9856  ⇒  r2=9856×722=3136  ⇒r  =56m\mathrm{πr}^2=9856\;\Rightarrow\;\mathrm r^2=\frac{9856\times7}{22}=3136\;\Rightarrow\mathrm r\;=56\mathrm m

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