Jack1
  • Jack1
odd question: Why are there 360 degrees in a circle? ... I mean... why 360 specifically? why not 100? or 400? is there a mathy reason why they picked this number? (like something to do with pi or something)?
Mathematics
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schrodinger
  • schrodinger
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ganeshie8
  • ganeshie8
Other than the fact that 360 has so many divisors, there is no mathematical reason for 360. You may want to review history of math though...
welshfella
  • welshfella
good question - but I dont think its anything to do with pi
Jack1
  • Jack1
k, so it's not a special ration or golden ratio or anything like that? just: we picked 360... and we've always done it this way...?

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ganeshie8
  • ganeshie8
360 is a highly composite number, thats good enough for greeks those days i guess
Jack1
  • Jack1
ok, cheers all, was just ... pondering ;)
ganeshie8
  • ganeshie8
https://en.wikipedia.org/wiki/Highly_composite_number
horsegirl27
  • horsegirl27
Very interesting question. I find it quite intriguing now and I actually think I might do some research to find out...
anonymous
  • anonymous
That's a convention, like why \(0!=1\) why \(x^0=1\) and ...
ParthKohli
  • ParthKohli
@mukushla Those conventions are there for a reason though. If they're not introduced, then consistency will be broken.
ParthKohli
  • ParthKohli
Allow me to introduce a relatively unknown unit of angles which, unlike degrees, makes sense. https://en.wikipedia.org/wiki/Radian
Loser66
  • Loser66
I heard that long time ago, Mathematicians wanted to know how to link the straight measurement with the curve one. They know that the unit of straight line is 1; how about the unit of the curve? They drew out a circle with radius 1 and straight it out, the length of the curve is exactly 2pi. The experiment was repeated with the other radius and the constant popped out was pi. hihihi.... hope it helps
ganeshie8
  • ganeshie8
@Jack1 you might be interested in pondering over why 1 feet = 12 inch
ganeshie8
  • ganeshie8
(jk)
Jack1
  • Jack1
lol, imperial "feet" measurement is based on some king's foot size, yeah?
ganeshie8
  • ganeshie8
forreal ?
horsegirl27
  • horsegirl27
I learned in 3rd grade it was based on some king's foot size
welshfella
  • welshfella
Its interesting about the grad as a unit of angles - it used to be included on the older calculators but not on the newer ones.
welshfella
  • welshfella
I think it originated in France.
welshfella
  • welshfella
400 is obviously less composite than 360
Jack1
  • Jack1
that's interesting about grads tho @welshfella 1 grad = pi/200
welshfella
  • welshfella
must look for a website
Jack1
  • Jack1
just for 1x question: srsly awesome turnout everyone, props hey ;)
ganeshie8
  • ganeshie8
i love this picture that tells why radians are beautiful |dw:1436016853751:dw|
Jack1
  • Jack1
awesome visual @ganeshie8 ummm... @welshfella sorry man, ur link goes nowhere?
welshfella
  • welshfella
https://en.wikipedia.org/wiki/Gradian try that one
ParthKohli
  • ParthKohli
Gradian makes a little more sense since it defines a right angle as 100 gradians.
Jack1
  • Jack1
ok, haven't found any solid leads, but found a few articles saying its because in like 3000BC, the summarians or mesepetomians had a circular calendar for the year, based on 12 months of 30 days 12x 30 = 360 = 1 year (ish) not sure how accurate or historic it is... but there u go http://usatoday30.usatoday.com/news/science/wonderquest/2002-06-21-circle.htm
anonymous
  • anonymous
@ParthKohli sure.

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