In the four examples below, identical squares contain some circles shaded blue. In which of the four examples is the shaded area greatest?

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Assuming the side of the square is s.

For the first square, the area of the circle is:

`(pis^2)/4`

For the second square, the radius of each circle is s/4 and the area of the four circles is:

`4(pis^2)/16=(pis^2)/4`

For the third square, the radius of each circle is s/6...

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Assuming the side of the square is s.

For the first square, the area of the circle is:

`(pis^2)/4`

For the second square, the radius of each circle is s/4 and the area of the four circles is:

`4(pis^2)/16=(pis^2)/4`

For the third square, the radius of each circle is s/6 and the area of the nine circles is:

`9(pis^2)/36=(pis^2)/4`

Therefore the area is the same for each square.

For the fourth square, the radius of each circle is s/8 and the area of the 16 circles is:

`16(pis^2)/64=(pis^2)/4`

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