Circle Theorems Puzzle

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Drofder2004
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Re: Circle Theorems Puzzle

Post by Drofder2004 » September 30th, 2010, 10:54 pm

Pedsdude wrote:
Drofder2004 wrote:
Pedsdude wrote:It's a school maths problem, it'll be fairly obvious the angle comes up to 29.94 degrees or something, then it'd be 30 degrees.
Genius in the making. You can see Einstein say "well, its close enough".

The question is not to guess it using a method but to prove it.
It would be using a method, it's simply using rounding. You can't be expected to go to 100 decimal places in a school question, they would be fine with 5. Rounding is not guessing in this sense.
Secondly, this is a question based on Circle Theorem. I don't remember Circle theorem using Sine/Cos/Tan.
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Re: Circle Theorems Puzzle

Post by Pedsdude » September 30th, 2010, 11:18 pm

Drofder2004 wrote:Secondly, this is a question based on Circle Theorem. I don't remember Circle theorem using Sine/Cos/Tan.
That doesn't mean you can't bring relevant mathematical concepts into it.
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Re: Circle Theorems Puzzle

Post by Drofder2004 » September 30th, 2010, 11:27 pm

Pedsdude wrote:
Drofder2004 wrote:Secondly, this is a question based on Circle Theorem. I don't remember Circle theorem using Sine/Cos/Tan.
That doesn't mean you can't bring relevant mathematical concepts into it.
If I was an examiner and a question came up about circle theorems, I wouldn't consider use of arbitary values, sine and rounded values an acceptable form of proof. This is not simply a "find the answer" question.
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Re: Circle Theorems Puzzle

Post by Pedsdude » October 1st, 2010, 12:53 am

Drofder2004 wrote:
Pedsdude wrote:
Drofder2004 wrote:Secondly, this is a question based on Circle Theorem. I don't remember Circle theorem using Sine/Cos/Tan.
That doesn't mean you can't bring relevant mathematical concepts into it.
If I was an examiner and a question came up about circle theorems, I wouldn't consider use of arbitary values, sine and rounded values an acceptable form of proof. This is not simply a "find the answer" question.
I'm not in the exam. If I was, then I would have stated that none of the circle theorems are applicable in this situation, however, you would probably never get a question which asks if it exists, more than it does exist and you have to find it and show your proof, so this isn't particularly relevant.

Because none of the theorems were applicable, I went beyond the call of duty (first time I've used that phrase in a none-gaming, relevant sense on these forums :lol:) and started to do more general trigonometry calculations to see if I could find the solution.

End of pointless argument.
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Re: Circle Theorems Puzzle

Post by Coontang » October 1st, 2010, 10:32 am

Drofder2004 wrote:
Pedsdude wrote:It's a school maths problem, it'll be fairly obvious the angle comes up to 29.94 degrees or something, then it'd be 30 degrees.
Genius in the making. You can see Einstein say "well, its close enough".

The question is not to guess it using a method but to prove it.

Also:


A-LEVEL QUESTION: 5 Marks.
Show your working.
Q. Is this solveable:
<img>
A. No.

Instant 5 marks.
This wasn't an A-Level quesgtion and it was question 8 out of 17, the question was asking to solve the red angle but I just couldn't find a way of doing it. This was meant to be a 'find the answer' question but after at least an hour of trying to find a way of finding out the red angle I thought I'd consult the forum for some help :D
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Re: Circle Theorems Puzzle

Post by x0ozero0x » October 1st, 2010, 10:48 am

Did you get the answer from your teacher or whatever in the end? The argument can just go on forever since everyone is to stubborn, even about a maths question with one answer XD I'm gunna say its 38.
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Re: Circle Theorems Puzzle

Post by [SoE]_Zaitsev » October 1st, 2010, 1:47 pm

If I still was on school I'd print this and give it to my maths teacher, he was too awesome with this kind of stuff.
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Re: Circle Theorems Puzzle

Post by Infinite » October 1st, 2010, 7:44 pm

ITT: people arguing about how circles work.

Fucking cricles, how do they work?!


On an average day, I'd be able to answer the original question, but I took geometry 3 years ago, and I don't remember how to do it right now. Ask me almost any trig problem and I'd be able to do it easily, though :<. If you find the answer jimbo, post it here because I want to see how this is done :P.
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Re: Circle Theorems Puzzle

Post by IzNoGoD » October 3rd, 2010, 7:25 pm

The solution DOES either NOT EXIST or IS ANYTHING BETWEEN 0 and 64 degrees

Proof:
Try to move the 26+90 degrees corner over the circle, it will change the red corner, but wont change any of the given angles.

Basically, anything between 0 and 64 degrees is an answer for the red angle.

Yes, above is truth. Try it for yourself. No matter how bad your drawing skills are (like you put the 26+90 degrees corner somewhere in the mid-top of the circle, the given angles will not change, but the red angle will!)
LMGTFY!

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Re: Circle Theorems Puzzle

Post by Pedsdude » October 3rd, 2010, 8:58 pm

Welcome to a few days ago.
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Re: Circle Theorems Puzzle

Post by Soviet » October 3rd, 2010, 9:27 pm

It may be a few days ago, but it's a few days ago in color!!!

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Re: Circle Theorems Puzzle

Post by Coontang » October 4th, 2010, 6:14 pm

Soviet wrote:It may be a few days ago, but it's a few days ago in color!!!

Lol'd.

Reminds me of,

Someone: Why can't people just accept bounces aren't possible?
Someone else: Because, OMFG ITS A BOUNCE!

It's in someones sig haha, funniest two lines in a long time :')

EDIT: Rezil's sig ;]

The President: why are people so unwilling to accept it's just not really possible?
[SoE]_Zaitsev: Because, OMFG ITS A BOUNCE!
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