SOLUTION: Discs of radius 4 cm are cut from a rectangular plastic sheet of length 84cm and width 24cm.How many complete discs can be cut out?

Algebra.Com
Question 741225: Discs of radius 4 cm are cut from a rectangular plastic sheet of length 84cm and width 24cm.How many complete discs can be cut out?

Found 2 solutions by mananth, Alan3354:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!




Area of sheet = 84*24=2016 cm^2
Area of disc = pi * r^2= pi*4^2= 50.26

2016/50.26= 40 numbers

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Discs of radius 4 cm are cut from a rectangular plastic sheet of length 84cm and width 24cm.How many complete discs can be cut out?
----------------
There's some wasted material due to the shapes.
Each disc can consume a square of material 8 by 8 cm = 64 sq cm
84/8 = 10.5 --> 10 rows
Overall, you get 3 by 10 = 30 discs
-------------
More might be possible by offsetting rows, I'll check again later today.

RELATED QUESTIONS

As many 8cm diameter discs as possible are cut from a sheet of rectangular cardboard... (answered by checkley77)
Question As many 8-cm diameter discs as possible are cut from a sheet of rectangular... (answered by fractalier)
How many circles of radius 9 cm can be cut from a rectangular sheet 370 cm by 105... (answered by Cromlix)
A bag contains 6 red discs, 3 yellow discs and an unknown number of black discs. The... (answered by ramkikk66)
A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs... (answered by ikleyn)
How many circles of radius 9 cm can be cut from a rectangular sheet 3.7 m by 1.05m? Thank (answered by Boreal,ikleyn)
A sheet of metal has dimensions 56cm by 33 cm.it is melted down and recast into discs of... (answered by addingup)
Tom has 6 blue discs and 12 red discs in his pocket. How many discs does he need to take... (answered by scott8148)
in how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row if the disc... (answered by ikleyn)