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Suppose You Are Given A Circle With An Inscribed Square As Shown Below. If The Area Of The Square Is 49 M2, Then The Area Of The Circle Is?

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Oddman Profile
Oddman answered
Let the area of the square be represented by A. Then one side of the square is √A, and the diagonal of the square (the diameter of the circle) is √(2A).
The area of a circle is
  area = π(d/2)^2 = (π/4)d^2
Our circle has diameter d = √(2A), so the area of our circle is
  area = (π/4)(√(2A))^2
  = 2πA/4
  = (π/2)A
The area of your circle is (49π/2) m^2 ≈ 76.969 m^2

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