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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 increase in the grazing area if the rope were 20 m long instead of being 10 m long, is

    A) 236                             

    B) 237

    C) 2355               

    D) 238

    Correct Answer: C

    Solution :

        Length of rope \[=20\,m\] Radius\[=20\,m\] \[\therefore \]  Area of the field in which the horse can now graze \[=\frac{1}{4}\times \pi \times {{(20)}^{2}}=314\,{{m}^{2}}\] \[\therefore \]  Increase in grazing area\[=314-78.5\]                                                 \[=235.5\,{{m}^{2}}.\]       


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