Respuesta :

Sophiesticated
Area of a square is a^2. So that means one side of a square is equal to 6 m. 
So that would be the diameter of the circle. And the area of a circle is pi(r^2), where r represents the radius. 

So plug in the equation. pi(3^2). This will get you 28.3 - rounded to the nearest tenth.

Given details in the question,

  • Square with an inscribed circle.
  • Area of the square = 36 m²

Area of a square is given by the expression,

       Area = (Side)²

By substituting the value of area in the given expression,

        36 = (Side)²

        Side = 6 m

Since, a circle is inscribed in the square, one side of the square will be equal to the diameter of the circle.

Side of the square = Diameter of the inscribed circle

                               = 2(radius of the inscribed circle)

Radius of the circle = [tex]\frac{\text{Side of the square}}{2}[/tex]

                                 = [tex]\frac{6}{2}[/tex]

                                 = 3 m

Area of a circle is given by the expression,

              Area = πr²

By substituting the value of radius in the expression,

              Area = π(3)²

                       = 9π m²

                       ≈ 28.27 m²

      Therefore, area of the inscribed circle will be 28.27 m².

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https://brainly.com/question/1306582

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