good its not my comp then and sorry yes i got it wrong lol mixed up.
and i am reposting this for those who don't know what the page back button looks like....
i submitted "1 square" for my answer due to the fact that they didn't say to round the number or if they wanted the circumference or diameter
i appologize.....
pi(r²) is the formula for area
pi*d is the formula for circumference
again I am sorry about the confusion that this may have caused......
It's been a very long time since i had to think about these formulas......
Just to clarify.... the largest circle would encircle 1 tan square..... so that the circumference disects the corners.... it has a diameter of square root of 50.... and a circumference of 22.21 cm
I must have missed the post (in this thread) that included the text of the latest Lenny. Would somebody please kindly re-post?
Thank you.
Eliz.
stapel wrote:I must have missed the post (in this thread) that included the text of the latest Lenny. Would somebody please kindly re-post?
Thank you.
Eliz.
Suppose you have a Kacheekers board with tan and grey squares, each square measuring 5 cm by 5 cm.
What's the largest circle that can be drawn on the board such that the entire circumference of the circle is only touching grey?
How could it only be one square?
The center of the circle is in the center of a gray square. The diameter is 5*sqrt(10) cm. The circle contains one complete gray square, four complete tan squares, more than 50% of four more gray squares, and a small fraction of four more gray squares.
Exactly. You did that just before I updated my avatar.
Now you just have to figure out how they want the size represented. I'd use diameter. My second choice would be radius, and I wouldn't even consider circumference or area.
That is the same size circle I used, but how can you possibly figure out the radius with those small areas on the four "sides" They are such an irregular shape.
Diameter is the distance all the way across, if you only use 10 then you are leaving out the extra areas that the arcs of the circle makes.
if you want the surface of the circle: pi X 7,5²
my awnser is: diameter: 15 cm
surface: 176,71 cm2 (this is that pi thing from above)
The radius is square root of 250 divided by 2. Diameter is square root of 250.
So here's my "conundrum". I got the diameter as 15 cm but should I put diameter: 15 cm or simply 15 cm. I got last weeks wrong and I hate to miss 2 in a row!
Wanted to see what the consensus was on how to submit.
The diameter is more than 15, you are not taking into account the added space on each side.
I found this:
It isn't very correct but normally the circle only touches the grey...
I found radius = 8 in this picture
How did you get 8, did you just guestimate? I can't find any logical formula to determine the distance across because of the small additional space on each size. Even if you take it diagonal you have 2 irregular polygons.
The small piece just fits 10 times in 1 square.. It's not a formula, but it seems correct...
If the radius is 8 than the diameter is 16, which would mean that the addition space on each side is 1 CM and it doesn't look like that much to me. I have come to conclusion that we must be using too big of a circle because they have given us a problem that is unsolvable with any math formula if you use the circle that most of us have.
