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Tuesday, September 8, 2009

Great Debate -PoP

If a reflex angle measures between 180-360 degrees, and an obtuse angle measures from 90-180 degrees, and an acute angle measures less than 90 degrees.  How would you classify an angle that measures 425 degrees?
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29 comments:

  1. jocelynSeptember 8, 2009 at 10:14 AM

    If an angle measured 425 degrees I would call it an extreme circle! Since a cirle is 360 turn this degree would be a little more than that!

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  2. AnonymousSeptember 8, 2009 at 12:49 PM

    I looked it up on the internet (using the worldwide information!). From what I found out is that there is no definite answer except that a 425 degree angle would be coterminal with a 65 degree angle, and a 65 degree angle is acute, so it's coterminal with an acute angle.

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  3. cullenSeptember 8, 2009 at 1:18 PM

    that would be an agute angle because it would be one revolution plus 65 degrees. the full revolution would be completely irrevelant.

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  4. ZoëSeptember 8, 2009 at 2:41 PM

    cullen do you mean "acute"? theres no such thing as "agute"
    I can't find anything that gives a specific name for any angles larger than an obtuse, but I agree with cullen, I think the first revolution becomes irrelevant so the angle would be 65 degrees

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  5. ShakespeareSeptember 8, 2009 at 3:28 PM

    I found something online but I am not sure how accurate the information is. I would have to say it is an acute angle because 425-360=65 and an angle that is 65 degrees is an acute angle. Basically it overlaps.

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  6. MadisonSeptember 8, 2009 at 3:54 PM

    I also went online and didn't find much but I would say that although the full revolution of 360 degrees doesn't disappear, (as in, it's still relavent, although I'm not sure how) the 65 degree angle would count as acute

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  7. MACK.DADDY_3September 8, 2009 at 5:12 PM

    the measurement would be an acute angle because since it already has one full turn or revelation, you only take the measurement after 360. which is 65, which is acute.

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  8. C.P.September 8, 2009 at 6:09 PM

    In my opinion i don't think it is either because the measurement is not between 0-90, nor is it between 180-360 so by definition it is neither. if i had to choose between the two I would say it is closer to a reflex angle because its not because of how small the degree is that makes it that specific angle but because of how large it is. Does that make sense? If not it does to me...so ask me to elaborate if your perplexed.

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  9. AnonymousSeptember 8, 2009 at 6:34 PM

    I looked this up on the Amazing internet and found out that an angle greater than 360 degrees is measured in rotations. A 425 degree angle has a 65 degree rotation. This 425 degree angle an acute reference angle.

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  10. MarcSeptember 8, 2009 at 7:23 PM

    It would be an acute angle, because when you have an angle more than 360 degrees, you subtract 360 from it and you get the angle's measure. this particular angle would measure 65 degrees.

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  11. CarevaloSeptember 9, 2009 at 8:40 AM

    I think it would be the reference angle to 425 degrees in other words, an acute angle because there are 65 degrees left after the full 360 degree rotation.

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  12. JerichoSeptember 9, 2009 at 8:43 AM

    you would call it a acute angle, because a
    425 degree angle would be coterminal with a 65 degree angle, and 65 would be an acute angle.
    i agree with what monboss said about it being expressed in rorations...

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  13. Katherine T.September 9, 2009 at 10:00 AM

    I agree with a lot of the people on here, I would say that this angle would be a 65 degree angle because it would overlap its slef and the only outstanding part would be the 65 degrees.

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  14. bekahSeptember 9, 2009 at 3:33 PM

    According to Doctor Pat, http://mathforum.org/library/drmath/view/55067.html no one has put a name to a degree that is great then 360. This being because an angle is the opening "between" two rays, but a degree larger then 360 can not be between two rays, because it's too big. When people are dealing with rotating angles, we rarely ever think of rotating an angle in terms of some kind of relative to a "stationary ray." So since we have no name for this people refer to a 425 degree rotation as coterminal with a 65 degree rotation. Doctor Pat says that he wouldn't accurately call a 425 degree angle acute, and agree with him, because although 425 degrees is a circle (360 degrees) plus 65 degrees which makes an acute angle, 425 degrees as a whole just isn't acute-It's not under 90 degrees.

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  15. KenanSeptember 9, 2009 at 4:43 PM

    This comment has been removed by the author.

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  16. KenanSeptember 9, 2009 at 4:45 PM

    I don't think that it is possible for there to be an angle with a measurement greater than 360 degrees. This would be larger than a full circle, and from I have learned in math, that is impossible.

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  17. atlchulachicaSeptember 9, 2009 at 5:27 PM

    I also think that it would be considered be acute because once it's been a complete circle then the next angle is under 90 degrees. i.e. the definition of an acute angel.

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  18. EmmaSeptember 9, 2009 at 5:46 PM

    I believe that an angle measuring 425 degrees would be called:

    a coterminal, acute reference angle measuring 65 degrees, with a negative 295 degree rotation.

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  19. EmmaSeptember 9, 2009 at 5:48 PM

    I got my previously posted answer from the Math doctor without realizing that that had already been posted by Jojo, whoops

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  20. andrewSeptember 9, 2009 at 6:58 PM

    I think it is an actute angel due to the information I found on google. It said that when an angle hits 360 then you basicly start over agian to see if it is obtuse acute or reflex so 425-360=65 and 65 is an acute angle.

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  21. MirandaSeptember 10, 2009 at 6:28 AM

    I did some researching online and found that because the angle overlaps, the angle is a coterminal acute angle with the measure of 65 degrees. In other words, no such "overlapping" angle exists, but a name was found for it anyway.

    P.S.
    Sorry for the lateness of this post, I was very sick this past week and I'm just catching up on this work!

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  22. Brandon PSeptember 11, 2009 at 11:21 AM

    It would be an acute angle....how could something have an overlapping angle?

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  23. Paideia MathSeptember 16, 2009 at 6:35 AM

    This post is now closed to grading. Feel free to continue to comment if you would like.

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  24. LukeSeptember 23, 2009 at 4:26 PM

    Okay, so I do not know what to call this, it's something that I often ponder about.
    According to this site, which seems to be a good site on angles and their measures: http://library.thinkquest.org/2647/geometry/angle/measure.htm
    States this about the topic: "It is possible to have an angle with more than 360 degrees. To find out what it looks like, all you do is subtract 360 from it until you have an angle less than or equal to 360. (What?! You want an example? C'mon, you people...) For example, if you have an angle that is 546 degrees, you subtract 360 from 546 to get 186. Thus, the angle is the equivalent of a 186 degree angle."
    I don't know, that doesn't really answer our question does it? I personaly like the name, "extreme circle," haha I believe that was used earlier in the conversation.

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  25. anna tdOctober 1, 2009 at 1:20 PM

    I did what many other people seem to have done; I used the World Wide Web to research this topic and, like Isabel, found that a 465 degree angle would be classified as "coterminal;" basically a full 360 degree circle with a 65 degree overlap.

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  26. jordanDecember 14, 2009 at 4:44 PM

    if the angle is 465 degrees than its really just 105 degrees so its an obtuse angle measurement. because the angle is around once 360 and you can go around 105 more degrees.

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  27. nigelDecember 14, 2009 at 5:05 PM

    I feel like its an over lapping acute angle because of the information i found on the internet saying the 465-360=65 and if and polygon has an angle of 65 it is a acute angle.

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  28. T-Da-Tank-BarrowDecember 14, 2009 at 6:05 PM

    It would be acute because it is 65 degrees added onto a full rotation the full 360 is irrelevant when defining the name of the angle as acute obtuse or reflex

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  29. BrianMay 2, 2010 at 5:44 PM

    a 425 degree angle is coterminal with a 65 degree angle so a 425 degree angle is acute.

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