anonymous
  • anonymous
Discs of radius 4cm are cut from a rectangular sheet of length 84cm and width 24cm. How many complete discs can be cut out?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
So a 4*4 cm square. Since the width is 24cm then we can fit 6 disks and the height is 84cm so we can fit 21 6*21=126 disks
anonymous
  • anonymous
Area of the rectangular sheet = 2016 sq. cm Area of one disk = 50.24 sq. cm. So now you just have to divide.
anonymous
  • anonymous
40??

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anonymous
  • anonymous
but my text gives the answer 30
anonymous
  • anonymous
Yes, its 40.
anonymous
  • anonymous
Textbooks can be occasionally wrong.....
anonymous
  • anonymous
And Zed, you must have misunderstood, a disk is a circle, not a square.
anonymous
  • anonymous
Sorry I thought the diameter was 4. So we can have 3 disk in the width (24/8) and 10 disk in the height (84/8). So the total number is 3*10=30
anonymous
  • anonymous
Because the distance from the center of the circle is 4cm. It must fit in a 8*8cm square.
anonymous
  • anonymous
@pratu043, the area of 40 disks can be cut out of the sheet, however they will not be the shape of a disk.
anonymous
  • anonymous
why did you divide the diameter by the length and height of the rectangle????
anonymous
  • anonymous
and were did the 10 come from???
anonymous
  • anonymous
okay the disks will fit in a 8x8 square. do you understand this?
anonymous
  • anonymous
where did you get 8x8 from?
anonymous
  • anonymous
okay because the radius of the circle is 4, its diameter must be 8. and the diameter cannot change so it is 8 for the whole circle. Now because the circle is not longer than 8 cm it must fit into a 8x8 square. do you follow?
anonymous
  • anonymous
yes
anonymous
  • anonymous
okay so now what i'm trying to find is how many of these squares fit into the rectangular sheet.
anonymous
  • anonymous
for the width i can fit 3. because 24/8=3 for the height i can fit 10. because 84/8=10.5 but 10.5 won't make a disk so we must we 10. So the the amount of disks=number for width*number for height =3*10 = 30
anonymous
  • anonymous
impressive

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