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Thread: 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 $\displaystyle 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 $\displaystyle 55.5 \times 45.5$ but since half of it is taken by the blue triangle we can do $\displaystyle \frac{55.5 \times 45.5}{2} = 1262.625$

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

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