@myssinu,
I think the answer is 598925 [this is what my husband came up with]. Please let me know if I'm right.
@godmother01,
godmother01 wrote:I think the answer is 598925 [this is what my husband came up with]. Please let me know if I'm right.
That is barely more than the sum of the areas of the circles, so I doubt it.
I personally got 665903 (rounded up to the nearest whole number).
I found out the circumfrence of the whole "shape". Then divided that by 4 to get 816.02869177. Times that by itsewlf to get the area of a square or equivilent to that "shape".
Same here (623671), but I missed adding in one of the circles the first time and sent with the wrong answer..
@Nocturnaly,
Nocturnaly wrote:I personally got 665903 (rounded up to the nearest whole number).
I found out the circumfrence of the whole "shape". Then divided that by 4 to get 816.02869177. Times that by itsewlf to get the area of a square or equivilent to that "shape".
I'm afraid that isn't going to work. For a simple example, look at square with sides of length 4 and an area of 16. Then look at a 5x3 rectangle. Same circumference of 16 as the square, but only an area of 15. You might get an estimate that way, but there isn't much chance of it being right in the sixth significant digit.
well I submitted 623671. If that's not correct, then it's going beyond my skills x_x
Good point, Im out of this one then. I had that spark summed it out and submitted without actually thinking lol...
I got the same answer 623671, but I'm -no- mathematician. Hopefully since many others got the answer, it will be right.
But I know I had a VERY hard time with the area between the circles. I stumbled through the equations like a caveman. Could someone please please -please- link to a website with some background on the equations and maybe a little more information so I can learn them. Even though they will probably never come up again, I want to learn the theory behind them instead of just stumbling through numbers.
I'm no mathematician either and I'm just in 10th grade. TNT can't expect us to be some freaking Einsteins right? Haha. Anyway, if we fail, there are still many LCs to come... Does anyone know if we can change our profile picture here?
@alyse,
alyse wrote:Could someone please please -please- link to a website with some background on the equations and maybe a little more information so I can learn them. Even though they will probably never come up again, I want to learn the theory behind them instead of just stumbling through numbers.
Wikipedia has what appear to be pretty good articles on both Heron's Formula and the Law of Cosines, including multiple proofs of each. Just search for either of them by name. The only other formula involved is the area of a sector of a circle, which is (angle in radians divided by 2) * (radius squared). For an entire circle, the angle is 2*pi, so it becomes the familiar pi r-squared.
@edstock,
I don't know how to explain it, so i made a picture, llike that you only have to calculate triangles and circle segments :-)
http://brezendrache.beepworld.de/photoalbum/164658/1644964_l.jpg
It looks like the people who are aware of how to do it have gotten the idea right for the most part. I haven't actually done it yet. Turbine Inc, just had to distract me with their events... but I'll be doing it on my cross-province bus ride today, because the prize is so unappealing.
I should note, I will be using a different method, so it will verify other answers if one of them is right. My method will be with Calculus integrations to solve for the areas of each triangular section. I've done it before in an assignment, so shouldn't be anything new.
- PeckyP -
it's been about 25 years since i studied trigonometry lol so i had to do a bit of memory refreshment
i came up with 623671.095 before rounding
i'm glad to see that a few other people got the same thing
@PeckyP,
I'll be on pins an needles waiting to find out if I got it right for more than "the most part."
I got 623571... Off by 100 than the rest of you. Hmm... Gonna check my calculations tomorrow.
I got 623671.094895 as my final answer. My integrations weren't 100% accurate though. Would have a couple thousandths or tenthousandths off here and there after the definite integrals. Mind you I was doing this all in my head, so I'm just relieved to see that my answer is quite close to what was previously posted. =P
- PeckyP -
4 12 7 3 11 5 7 8 8 8 4 7 11 6 10 8 5 8 6 7 1 2 13 5 6
Well, the obvious thing to do is to start at some point on the circle, move the number of spaces around the circle given by each number, and find the question they want us to answer.
So, where to start, which direction to move and whether we move continuously in the same direction or change direction in some pattern are the subquestions.
