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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    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

  2. anonymous
    • 5 years ago
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    Area of the rectangular sheet = 2016 sq. cm Area of one disk = 50.24 sq. cm. So now you just have to divide.

  3. anonymous
    • 5 years ago
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    40??

  4. anonymous
    • 5 years ago
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    but my text gives the answer 30

  5. anonymous
    • 5 years ago
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    Yes, its 40.

  6. anonymous
    • 5 years ago
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    Textbooks can be occasionally wrong.....

  7. anonymous
    • 5 years ago
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    And Zed, you must have misunderstood, a disk is a circle, not a square.

  8. anonymous
    • 5 years ago
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    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

  9. anonymous
    • 5 years ago
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    Because the distance from the center of the circle is 4cm. It must fit in a 8*8cm square.

  10. anonymous
    • 5 years ago
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    @pratu043, the area of 40 disks can be cut out of the sheet, however they will not be the shape of a disk.

  11. anonymous
    • 5 years ago
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    why did you divide the diameter by the length and height of the rectangle????

  12. anonymous
    • 5 years ago
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    and were did the 10 come from???

  13. anonymous
    • 5 years ago
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    okay the disks will fit in a 8x8 square. do you understand this?

  14. anonymous
    • 5 years ago
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    where did you get 8x8 from?

  15. anonymous
    • 5 years ago
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    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?

  16. anonymous
    • 5 years ago
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    yes

  17. anonymous
    • 5 years ago
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    okay so now what i'm trying to find is how many of these squares fit into the rectangular sheet.

  18. anonymous
    • 5 years ago
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    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

  19. anonymous
    • 5 years ago
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    impressive

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