Asked by LARA
Donna wants to cut out circular discs of radius 7cm from a cardboard measuring 50cm by 70cm. What is the maximum number of circular discs that can be cut out from the cardboard?
Answers
Answered by
Jai
Area of disc (circle):
A = pi*r^2
A = 3.14 * 7^2
A = 153.86 cm^2
Area of cardboard (rectangle):
A = L * W
A = 70 * 50
A = 3500 cm^2
Divide area of rectangle by area of circle:
3500 / 153.86
= 22.75
Take only the whole number: 22 discs
Hope this helps :3
A = pi*r^2
A = 3.14 * 7^2
A = 153.86 cm^2
Area of cardboard (rectangle):
A = L * W
A = 70 * 50
A = 3500 cm^2
Divide area of rectangle by area of circle:
3500 / 153.86
= 22.75
Take only the whole number: 22 discs
Hope this helps :3
Answered by
Steve
However, all the scrap pieces cannot be used to form whole circles, so, assuming a rectangular packing of the circles, only 5 discs can be fit along the length of the cardboard. The diameter of 14 cm means that only 3 can fit across. That means that only 15 discs can be cut.
A hexagonal packing will allow for more, and I'll leave you to determine how that affects the total.
A hexagonal packing will allow for more, and I'll leave you to determine how that affects the total.
Answered by
shekar
i think only 15 numbers of discs will make from this 50 x 70cm card board
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.