10th Class Mathematics Areas Related to Circles Question Bank Area of Circle

  • question_answer
    Four horses are tethered at four corners of a square plot of 42 m so that they just cannot reach one another. The area left ungrazed is:

    A)  \[378\,{{m}^{2}}\]  

    B)  \[438\,{{m}^{2}}\]         

    C)  \[786\,{{m}^{2}}\]                 

    D)  None of these

    Correct Answer: A

    Solution :

    (a):   Ungrazed area = Area of square ? 4(area of quadrants) \[={{(42)}^{2}}-4\times \frac{1}{4}\times \pi {{(21)}^{2}}={{(21)}^{2}}[4-\pi ]=378\,\,{{m}^{2}}\]             


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