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The area of the square minus the area of the circle is twice the region that you are looking for.
About 3.86 m^2
To find the area of the shaded parts below, we can calculate the area of the square and then subtract the area of the circle.
However, we are only interested in the shaded part in the upper right and lower left part of the square.
After we subtract the area of the circle from the square, the four remaining shaded parts are congruent. Therefore, we can find the area of the shaded region by dividing the area of the four shaded parts by 2.
Substitute expressions
s= 6, r= 3
Calculate power
Multiply
The area of the four shaded corners of the square is (36-9π) m^2. Finally, we divide this by 2 to obtain the area of two of these areas. 36-9π/2≈ 3.86 m^2