7th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    DIRECTIONS: Passage ? 1 Read the passage given below and answer the questions that follow A horse is tied to a pole fixed at one corner of a \[30\,m\times 30\,m\] square field of grass, by means of 10 m long rope. The area of that part of the field in which the horse can graze is

    A)  \[78.5\,{{m}^{2}}\]         

    B)  \[77\,{{m}^{2}}\]

    C)  \[76\,{{m}^{2}}\]                           

    D)  \[75\,{{m}^{2}}\]

    Correct Answer: A

    Solution :

        Required Area \[=\frac{1}{4}\times \] (Area of a circle with radius 10m) \[=\frac{1}{4}\times (\pi \times {{10}^{2}})\] \[=\frac{1}{4}\times 3.14\times 100=78.5\,c{{m}^{2}}\]


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