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Lenny Conundrum 173

Thu Jun 29, 2006 1:32 am

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?

*No explanation about what part of the circle need to be calculated (I assumed it's area)
*No explanation of rounding :(
*I already submitted my answer :(

Thu Jun 29, 2006 2:42 am

i submitted my answer with the circles radius

Thu Jun 29, 2006 2:44 am

i don't know what they want on this one. i have seen this riddle before and for these numbers you get something you need to round, for area, for radius, circumference. The only this that is an integer is the number of grey squares the circle passes through. Why did TNT lenny dude drop the ball on this one?

Thu Jun 29, 2006 3:44 am

My visualization of the image may be wrong, but there is no explanation of whether they want radius, diameter (which I am assuming), area or circumference. So I took an assumption, such as the solution is exact (probably a big hint here) and which of the possible descriptions they want. However, I bet that in a couple of days, they will clarify the question. Too bad I won't have internet access in a few days.

Thu Jun 29, 2006 3:59 am

...What do you want from us, TNT?!

I'm putting circumference, radius, # squares, and area in my answer. They're only looking for particular numbers anyway, right? Extra "words" shouldn't disqualify me. And even if they do... meh.

Thu Jun 29, 2006 4:26 am

I don't even know how to go about figuring this one out. What kind of math do you need to use?

Edit: I figured out how to do it. This is how I had to submit the dang answer to keep it under 50 characters:

d=xcm c=xcm/xcm roundedup a=xcm/xcm roundedup
Last edited by kc_6201 on Thu Jun 29, 2006 9:45 am, edited 1 time in total.

Thu Jun 29, 2006 9:06 am

kc_6201 wrote:I don't even know how to go about figuring this one out. What kind of math do you need to use?


Circumference = Pi * Radius squared is a good start

Thu Jun 29, 2006 6:36 pm

I'm not sure whether LC wants the radius, circumference, diameter, or area of the circle. But I found a nifty webpage that has formulas for calculating the radius of a circle if you know the chord and apothem...

Fri Jun 30, 2006 12:05 am

ERROR : Oh deary me, you can only enter once per competition!

:x
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


great job blowing this one... >_<

Fri Jun 30, 2006 12:35 am

i blew it too. i put the radius though, but only to one digit. they should let ppl reenter since they are the ones that screwed up

Fri Jun 30, 2006 2:02 pm

*grrr* Same problem: put down the radius, but only to the tenth decimal. :x

Fri Jun 30, 2006 10:24 pm

I didn't even put the radius. And all of mine were rounded to the ones place because that's all that would fit. Stupid 50 characters limit. I hate it when TNT messes up and doesn't make up for it.

Sat Jul 01, 2006 8:22 am

Wow, I lucked out; I never thought I'd benefit by being stuck in China... I too probably would've guessed at what they wanted.
Sum of digits of answer = 17

Sat Jul 01, 2006 11:37 pm

...That's not what I got at all. And I think I know why. :P

I was doomed from the start, though. Meh.

Sun Jul 02, 2006 2:39 am

This appears to be a trick question. For the circle only to be touching grey squares would be pretty impossible.
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