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Mathematics 19 Online
OpenStudy (anonymous):

Find the area of the shaded portion in the square. (assuming the central point of each arc is the corresponding corner) help me

OpenStudy (anonymous):

OpenStudy (anonymous):

First you need to find one of the shaded areas. This is area of square - (1/4) circle: \[2^{2}-(1/4) \pi 2^{2} = 4 - \pi\] Now we subtract 2 times that area from the area of the square: \[2^{2} - 2(4 - \pi ) = 4 - 8 + 2 \pi = 2 \pi - 4 = 2.28\]

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