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Math Help - how much clothing is wasted

  1. #1
    rcs
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    how much clothing is wasted

    Problem:

    To allow for sewing and overlap, an 18 dm diameter piece is cut from 2m by
    2m material. How much clothing material is wasted?

    Can anybody help me how this be done and how it looks like .. thanks
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: how much clothing is wasted

    Subtract the area of the (presumed) circular piece from the area of the square piece from which it is cut. This difference is what is left over. What do you find?
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  3. #3
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    Re: how much clothing is wasted

    Hello, rcs!

    A circular piece with a 1.8m diameter is cut from a 2m by 2m piece of cloth.
    How much cloth is wasted?

    Did I really have to draw you a picture?

    Code:
        _ *---------------------------*
        : |:::::::::::::::::::::::::::|
        : |:::::::::::* * *:::::::::::|
        : |:::::::*           *:::::::|
        : |:::::*               *:::::|
        : |::::*                 *::::|
        : |::::                   ::::|
          |:::*                   *:::| 
        2 |:::*         * - - - - *:::|
          |:::*             0.9   *:::|
        : |::::                   ::::|
        : |::::*                 *::::|
        : |:::::*               *:::::|
        : |:::::::*           *:::::::|
        : |:::::::::::* * *:::::::::::|
        : |:::::::::::::::::::::::::::|
        - *---------------------------*
          : - - - - - - 2 - - - - - - :
    The cloth has an area of:. 2\times 2 \,=\,4\text{ m}^2

    The circle has a radius of 0.9\text{ m.}
    Its area is:. \pi(0.9^2) \,=\,0.81\pi\text{ m}^2

    The waste (shaded area) is:. 4 - 0.81\pi\text{ m}^2
    Thanks from rcs
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  4. #4
    rcs
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    Re: how much clothing is wasted

    thank a lot one of the BESTS Sir Soroban. God Bless.
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