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Kindergarten project


Best Answer bgm1961, 22 February 2013 - 11:59 PM

Another way of tackling the problem requires challenging the wording of the puzzle. Nothing in the wording specifies the formation of the circle. I.e., are the circles DISCS or RINGS?  Answers provided thus far assume the circles are to be shaped as discs. But if they can be rings, then only one sheet of paper is needed.

 

If the "circles" can be rings, here's how it can be done with one sheet of paper. Rather obvious but I like to spell things out anyway:

 

Spoiler for

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12 replies to this topic

#1 BMAD

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Posted 20 February 2013 - 06:46 AM

Your child needs help. He needs to cut out 10 circles. Upon measuring the circle size he needs, you find the radius of the circle to be 2.5 inches. Assuming that a sheet of paper is only 8.5x11 what is the minimum number of sheets of paper needed to make the circles?
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#2 bonanova

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Posted 20 February 2013 - 09:01 AM

Spoiler for Looks like


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#3 bgm1961

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Posted 20 February 2013 - 06:28 PM

Assuming you can tape the sheets together, the answer is:

 

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Edited by bgm1961, 20 February 2013 - 06:32 PM.

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#4 TimeSpaceLightForce

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Posted 20 February 2013 - 08:40 PM

Spoiler for project


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#5 BMAD

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Posted 21 February 2013 - 09:25 AM

Still haven't found the answer I am looking for
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#6 bonanova

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Posted 21 February 2013 - 06:25 PM

By circle, which is a locus of points, we assume you mean disc, which includes the interior points.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#7 Prime

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Posted 21 February 2013 - 10:43 PM

Spoiler for Just 2 per page


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Past prime, actually.


#8 BMAD

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Posted 22 February 2013 - 05:25 AM

Spoiler for Just 2 per page

I agree with the picture but you are missing something...something obvious :)


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#9 bgm1961

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Posted 22 February 2013 - 11:36 PM

I guess I/we are missing something obvious, then.  Because from strictly an area calculation, at least three sheets of paper are needed.

 

The combined area of 10 circles with a 2.5" radius is 196.25 sq in. The combined area of TWO 8.5 x 11 sheets of paper is 187 sq in. So no matter how many arcs you divide each circle in order to maximize the coverage of a piece of paper, you'll need AT LEAST three sheets of paper to meet the area requirements alone. As I mentioned In my earlier post, the project can be completed with three sheets of paper.


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#10 bgm1961

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Posted 22 February 2013 - 11:59 PM   Best Answer

Another way of tackling the problem requires challenging the wording of the puzzle. Nothing in the wording specifies the formation of the circle. I.e., are the circles DISCS or RINGS?  Answers provided thus far assume the circles are to be shaped as discs. But if they can be rings, then only one sheet of paper is needed.

 

If the "circles" can be rings, here's how it can be done with one sheet of paper. Rather obvious but I like to spell things out anyway:

 

Spoiler for


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