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Mathematics

OpenStudy (anonymous):

A dart is thrown and hits the square target in the diagram. The target has a circle inscribed in it, and within that circle, is inscribed another square. If the dart is equally likely to hit any point on the target, what is the probability that the dart will land on the shaded area?

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OpenStudy (anonymous):

so it is now a matter of figuring out what the areas are small square seems to have a side of length 2, so its area is 22=4 large square has side length 22√ so its area is (22√)2=8

OpenStudy (anonymous):

circle has radius 2√ so area is πr2=π2√2=2π

OpenStudy (anonymous):

shaded region is 2π−4 area of circle minus area of small square

OpenStudy (anonymous):

divide that by 8 for your answer

OpenStudy (anonymous):

I'm still really confused >___<

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OpenStudy (anonymous):

I got 2.28 then divided that by 8 to get .285. Is that correct?

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