## Welcome to BrainDen.com - Brain Teasers Forum

 Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-)
Guest Message by DevFuse

# 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

Go to the full post

12 replies to this topic

Senior Member

• Members
• 1826 posts
• Gender:Female

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?
• 0

### #2 bonanova

bonanova

bonanova

• Moderator
• 6142 posts
• Gender:Male
• Location:New York

Posted 20 February 2013 - 09:01 AM

Spoiler for Looks like

• 0

Vidi vici veni.

### #3 bgm1961

bgm1961

Newbie

• Members
• 12 posts

Posted 20 February 2013 - 06:28 PM

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

Spoiler for

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

• 0

### #4 TimeSpaceLightForce

TimeSpaceLightForce

Senior Member

• Members
• 695 posts
• Gender:Male

Posted 20 February 2013 - 08:40 PM

Spoiler for project

• 0

Senior Member

• Members
• 1826 posts
• Gender:Female

Posted 21 February 2013 - 09:25 AM

Still haven't found the answer I am looking for
• 0

### #6 bonanova

bonanova

bonanova

• Moderator
• 6142 posts
• Gender:Male
• Location:New York

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.
• 0

Vidi vici veni.

### #7 Prime

Prime

Senior Member

• Members
• 872 posts
• Gender:Male
• Location:Illinois, US

Posted 21 February 2013 - 10:43 PM

Spoiler for Just 2 per page

• 0

Past prime, actually.

Senior Member

• Members
• 1826 posts
• Gender:Female

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

• 0

### #9 bgm1961

bgm1961

Newbie

• Members
• 12 posts

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.

• 0

### #10 bgm1961

bgm1961

Newbie

• Members
• 12 posts

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

• 0

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users