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> Logic> Probability> Shapes (1)> General
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> Just Math> Science> Algorithms
For each relationship below, find the radius of the circle that would cover exactly half of a one unit square.

A. The circle is entirely inside the square.

B. The center of the circle is at the corner of the square.

C. The center of the circle is at the midpoint of the side of the square.

D. The center of the circle is on the side of the square and the one corner of the square is on the circle.

Are there any interesting relationships between any of the radii above?

(No Solution Yet, 1 Comments) Submitted on 2018-12-18 by Jer   
Difficulty: 2 of 5 Bonus: Printer Problems (in General) Rating: 3.00
I put a piece of standard sized paper into my printer, and it came out with the words face down. I flipped it so the words were face up, and put it in again. Though my purpose was to print the words facing the same way on both sides, I ended up printing on the same side, only with the words rotated 180 degrees. Looking at it, bewildered, I realized that I couldn’t even tell which way the words were printed first (I wanted to print the same words on both sides). Moreover, I couldn’t quite remember exactly how the words were facing the first time, nor how I had flipped the paper.

This was no fault of my printer. In fact, my printer is so perfect that if it printed the same words in the same place twice, you wouldn’t be able to tell the difference between words printed only once. My perfect paper slides in and out, and I wouldn’t know whether it was rotated or not.

My perfect paper is also expensive. Is there a way I can print another copy perfectly using only one more piece of paper? I’m not allowed to print anything other than the one-page document I have, and I refuse to mark my perfect paper.

(Solution Posted, 3 Comments) Submitted on 2005-02-14 by Tristan   
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