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## Main Question or Discussion Point

What is the probability that a dart, hitting a square board at random, lands nearer the center than the edge?

This was a problem at a past NJUMC test, and I'm not sure how to go about it. It's obviously not a circle, because the equal distance between the center and the edge horizontally and vertically is simply (side/4), while the equal distance between the center and the edge on the diagonals is (side)/(2sqrt(2)).

So I'm very confused and frustrated :-/

Thanks for the help.

This was a problem at a past NJUMC test, and I'm not sure how to go about it. It's obviously not a circle, because the equal distance between the center and the edge horizontally and vertically is simply (side/4), while the equal distance between the center and the edge on the diagonals is (side)/(2sqrt(2)).

So I'm very confused and frustrated :-/

Thanks for the help.