Answer :

First, find the area of the shaded circle.
8π^2
64π
Then find the area of the square using 45 45 90 relationships.
16
16/2^1/2
16(2^1/2)/2
8(2^1/2)
Now subtract.
64π-8(2^1/2) is you answer.

Answer:

72.96[tex] {in}^{2} [/tex]

Step-by-step explanation:

Radius = 8 in ( Given)

Area of shaded part:

Area of circle - Area of square

[tex](\pi \times {(8)}^{2} ) - ( \frac{16}{ \sqrt{2} } ) ^{2} [/tex]

[tex] = (3.14 \times 64) - \frac{256}{2} [/tex]

[tex] = 200.96 - 128[/tex][tex] = 72.96 \: {in}^{2} [/tex]

Hope this helps...

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