What is the area of the circular field

    I. Area of the largest square that can be inscribed in the given square field is 2450 cm2.

    II. Area of the smallest square in which the given circular field can be inscribed is 4900 cm2.

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

    From statement I,

     

     

    Diagonal of square = Diameter of circle

    Side of square=√2450

    =35√2cm

    Diagonal of square=35√2×√2

    =70cm

    Radius of circle=70/2=35cm

    ஃ Area of circular field =22/7×35×35

    =3850sq cm

    From statement II,

     

    Let side of the square =a cm

    Radius of the circle=a/2 cm

    a2=4900

    a=70cm

    Area of circular field =π(a/2)2

    =22/7× 35× 35

    3850sqcm

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