# how much clothing is wasted

• Dec 8th 2012, 05:51 PM
rcs
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
• Dec 8th 2012, 07:21 PM
MarkFL
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?
• Dec 8th 2012, 07:34 PM
Soroban
Re: how much clothing is wasted
Hello, rcs!

Quote:

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:.$\displaystyle 2\times 2 \,=\,4\text{ m}^2$

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

The waste (shaded area) is:.$\displaystyle 4 - 0.81\pi\text{ m}^2$
• Dec 8th 2012, 08:22 PM
rcs
Re: how much clothing is wasted
thank a lot one of the BESTS Sir Soroban. God Bless.