What is the area of the circular field

    I.Area of the largest square that can be inscribed in the given circular field is 392 cm2

    II.Area of the smallest square in which the given circular field can be inscribed is 784 cm2

  • If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
  • If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
  • If the data either in statement I alone or in statement II alone are sufficient to answer the question.
  • If the data given in both statements I and II together are not sufficient to answer the question.
  • If the data in both statements I and II together are necessary to answer the question.
  • Explanation:

    I.

    Let the side of the square = acm

    According to statement,

    a2= 392 cm2

    a= 19.79cm

    Diagonal of the square = a√2

    =19.79√2 cm

    Radius of the circle = Diagonal/2

    = 19.79×√2/2

    =13.99=14 cm

    ∴ Are of the circle =πr2

    =22/7×(14)2

    =22×14×14/7

    =616cm2

    II.

    Let the side of the square = acm

    and the radius of the circle = a/2 cm

    According to statement,

    a2= 784 cm2

    a=28cm

    ∴Area of the circle =π(a/2)2

    =22/7×14×14= 616cm2

    Hence, the data either in statement I alone or in statement II alone are sufficient to answer the question.


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What is the area of the circular field I.Area of the largest square that can be inscribed in the gi
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