Suppose you have a checkers board with tan and grey squares, each square measuring 5 cm by 5 cm.
What's the radius of the largest circle that can be drawn on the board such that the entire circumference of the circle is only touching grey? Please round to the nearest hundredth of a centimeter
If you think you've got it, be sure you can show how!
2006-07-01 17:50:57 · 11 answers · asked by xd_drd77 2 in Science & Mathematics ➔ Mathematics
Ah, you all are perhaps over simplifying this, take this checkerboard, and use as much of the whole board as possible so that a small line could pass through the edges of the individual squares without moving in on the others, like this.
http://img48.imageshack.us/img48/4402/closeenough5ug.png
I didn't line up the circle well, but I hope you all get the picture, and I'm not saying it has to eb as small an area as 3x3, you can look up for yourself how many squares are on a checkers board. This isn't a school prject, I know the answer, I want to see if anyone else can think deep.
2006-07-01 18:15:01 · update #1
Michal: That's not an answer, is it?
2006-07-01 18:16:18 · update #2
to be in all grey it would have to be inside of one square. each square is 5 inch by 5 inches draw a square now draw a circle in the center of itt touching all of its edges. if the square is 5 by 5 then the diamater of the circle is also 5 which means its radius is 2.5 or 5/2. Half of the diamater because d=2 * r. that should be the answer.
2006-07-01 17:56:34 · answer #1 · answered by anewcreation_84 2 · 0⤊ 0⤋
the circle would surround one tan square and have a radius of 3.54 cm (you said round to nearest 1/100th and 3.5355339059327 rounded up is 3.54)
2006-07-13 14:45:52 · answer #2 · answered by athorgarak 4 · 0⤊ 0⤋
Why don't you try to draw it out? It doesn't sound that hard only if you would draw it out.
Oh yeah, you would only be able to figure out the question if you knew how big the board was.
2006-07-01 17:53:25 · answer #3 · answered by Anonymous · 0⤊ 0⤋
diameter=1.414x5=7.07cm
diameter=sqrt(2)xa where a is the side of the square
2006-07-13 21:26:17 · answer #4 · answered by Anonymous · 0⤊ 0⤋
5cm diameter
2006-07-01 17:53:11 · answer #5 · answered by wiseornotyoudecide 6 · 0⤊ 0⤋
i bet you can't do better than 5/sqrt(2)=3.54 - the circle around one white cell.
2006-07-01 17:55:35 · answer #6 · answered by Anonymous · 0⤊ 0⤋
I don't like answering other people's homework questions, so my answer is: FIGURE IT OUT ON YOUR OWN
2006-07-10 01:04:49 · answer #7 · answered by ODUSylence08 3 · 0⤊ 0⤋
The person who asked you this type of question, sure he or she can answer you..
lol...
2006-07-01 17:56:20 · answer #8 · answered by Anonymous · 0⤊ 0⤋
2.49cm
2006-07-01 17:54:09 · answer #9 · answered by deathdealer 5 · 0⤊ 0⤋
this is your homework isn't it?
2006-07-01 17:51:51 · answer #10 · answered by Anonymous · 0⤊ 0⤋