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About 20%
Shaded is Pi/4 %, so unshaded is about 20%.
If you want to know how to go about solving this problem: it basically is wanting to know the ratio of areas between the white and shaded. You can tell that both are within a square, and the shaded is actually made of 2 half circles. let's say that the radius of the circle is r. Area of circle is: 3.14*r^2, The area of the square would be the length of one side squared. The length of that side is actually 2r, so the area of the entire square is: (2r)*(2r) = 4r^2 so the ratio of the shaded to the total area is \[(r^2*\pi)/(4*r^2)\] = \[\pi/4\] what we want is the ratio (in percent) of white to total, not shaded to total, and since it is either white or shaded (white + shaded = total) then this ratio would be 1- 3.14/4 which is about 21%
oh, wow. I thought the whole thing was just random guessing. thanks a lot!
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