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The Instigator
Pro (for)
Losing
7 Points
The Contender
Con (against)
Winning
14 Points

# "There aren't 360 Degrees in a Circle"

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Post Voting Period
The voting period for this debate has ended.
after 3 votes the winner is...
Biodome
 Voting Style: Open Point System: Select Winner Started: 6/6/2015 Category: Education Updated: 3 years ago Status: Post Voting Period Viewed: 4,377 times Debate No: 76235
Debate Rounds (5)

25 comments have been posted on this debate. Showing 1 through 10 records.
Posted by mostlogical 3 years ago
thanks
Posted by whiteflame 3 years ago
Working on it, guys. I'll have a vote up over the next couple of days.
Posted by Raisor 3 years ago
This debate turns on whether the number of degrees "in" a circle refers to the central angle or the sum of interior angles.

I found Pro's case very confusing, it was hard to understand the case he was making, and I still don't understand what he was trying to gt at with some of his arguments.

Con was consistently clear, and when Con finally understood that Pro was arguing about the sum of internal angles, not the central angle, he made a clear argument that the Resolution should be taken to refer to the central angle. Con's arguments are pretty straightforward- b definition the central angle of a circle is 360 degrees.

Pro should work on clearly communicating his arguments, I wasn't able to figure out your basic thesis until maybe the third or fourth round.

Clear Con win.
Posted by F-16_Fighting_Falcon 3 years ago
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>Reported vote: TheJuniorVaristyNovice // Mod action: NOT Removed<

Voted for Pro (Select Winner). Reasons for voting decision: none of con's arguments show how people came to the conclusion that we should have 360 degrees in a circle, he rather shows that according to currently accepted mathematical rules circles must have 360 degrees. Pro wanted con to show that there is purely mathematical and non arbitrary reason that a circle is considered to have 360 degrees. Con doesn't do this and pro let's it slide casually along the whole way so as to allow con to concede the very point of his argument, I would be surprised if this is not what pro wanted, and if it is not them I ask pro to message me with more information so that I can re-evaluate the round. But as of now the win is easily given to pro because con failed to tend his R1 duties and thus loses.

Report: A lot of arguments were not analyzed. Also he actually misrepresents my position.

[*Reason for non-removal*] (1) The voter explains why he felt that Pro's arguments affirmed the resolution and why Con's refutations were insufficient. (2) We don't remove votes because the debater has a substantial disagreement with the voter. (3) Also, consider this a pre-emptive warning that votes must be made based on the debate rounds and shouldn't be re-evaluated based on private messages.
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Posted by Biodome 3 years ago
@TheJuniorVarsityNovice

I find your RFD inadequate. Could you please assess ALL arguments put forward by both sides? I did not understand why you think that my use of mathematical definitions fail to qualify as an argument. I.e. you have never thoroughly analyzed why my 3 arguments fail against Pro's rebuttals, especially after he conceded to using the same definitions as me (i.e. look at Argument 3). Are you suggesting that I should not have used the accepted definition of a degree? How else could I have defined that term? Could you elaborate on how I actually "failed to tend [my] R1 duties"?

Posted by mostlogical 3 years ago
#Cottrill - a square has 360 degrees because you multiply one of it's interior angles by the number of sides. With an infinite sided polygon one of it's infinite interior angles is basically 180 degrees (see calculations), multiplying 180 degrees by infinity will give 180 degrees. You may disagree here, I understand that any number x infinity = infinity, but when you have a straight angle it doesn't matter how many times you multiply it by because it can't produce any more angles, as any additional sides will be parallel.
Posted by cottrill 3 years ago
#mostlogical - If we are declaring that a shape "has" as many degrees as its internal angles (a square has 360, a triangle has 180), and we are declaring that a circle has and infinite number of internal angles, then it has to follow that a circle has an infinite number of degrees.

To put it as a syllogism:

Shapes have degrees equal to the sum of their internal angles.
Circles have an infinite number of internal angles.
Therefore circles have infinite degrees.
Posted by mostlogical 3 years ago
True, every polygon (including a circle) has a central angle of 360, but we wouldn't say an octagon has 360 degrees. We would say a square has 360 degrees because the sum of interior angles equals 360 degrees.

Some think that a circle only has a central angle because it is has curved lines, or because they like yourself think that there are an infinite number of internal angles and so think it's acceptable to say a circle has 360 degrees. While my maths hopefully shows there are an infinite number of internal angles, they are straight angles meaning a circle has 179.9... or 180 degrees.
Posted by cottrill 3 years ago
#mostlogical - Don't let me distract you from the debate, but I was enjoying the back and forth we were having.

I think the issue with your argument boils down to your conflation of internal angles with central angle. A circle has an infinite number of internal angles, meaning that, yes, you are correct, there are not 360 degrees worth of internal angles. There is, however, 360 degrees worth of angle using the center of the circle as the point of origin.
Posted by Ragnar 3 years ago
@Mostlogical
This may seem strange, but I advise talking less in the comment section while the debate is ongoing. Voters can't give you any credit for anything you write in it, and it's easy to think you already made a point in an argument when in fact you only stated it in the comments.

Due to the nature of this debate, I also suggest including a link to the voting standards in your final round. If anyone disagrees with you, is a matter separate from how well you argued and supported your claim.
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