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Math Help - Find the area of the the BLUE shape. (Pic Included)

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    Find the area of the the BLUE shape. (Pic Included)

    Allright so I am doing my math assignment and I don't know if this is right or not.



    Area of the big blue square: 98.654 squared - aprox 9763.61
    Area of triangle is 1/2bh= 1/2(45.5)(55.5) = 1262.625

    I added the area of triangle to area of square = 1262.625+9763.61=11026.325

    So the answer i got is 11026.325 ???

    Please help!
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    Quote Originally Posted by elitescouter View Post
    Allright so I am doing my math assignment and I don't know if this is right or not.



    Area of the big blue square: 98.654 squared - aprox 9763.61
    Area of triangle is 1/2bh= 1/2(45.5)(55.5) = 1262.625

    I added the area of triangle to area of square = 1262.625+9763.61=11026.325

    So the answer i got is 11026.325 ???

    Please help!
    The whole of the blue square isn't filled in though.

    We can see that a quarter of two circle are in the way and since they are the same size I will assume it's half of one circle:

    This area will be A_{c} = \frac{1}{2} \pi r^2 = \frac{\pi}{2} \cdot 20.031^2 Leave it in this form to avoid rounding errors

    The area of the small square is 55.5 \times 45.5 but since half of it is taken by the blue triangle we can do \frac{55.5 \times 45.5}{2} = 1262.625

    Now we can take the sum of these from the big square which has an area of 98.654^2

    A_{blue} = 98.654^2 - (1262.625+ \frac{\pi}{2} \cdot 20.031^2) = 7840 \text {in}^2 \text{(3sf)}
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