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?

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