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Re: Why do people usually use Radians or Degrees?

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Spirographic is not online. Spirographic
Joined: 17 Aug 2007
Total Posts: 19084
04 Apr 2015 01:29 PM
Why not use revolutions?

2*pi = 360 degrees = 1 revolution.

It just seems far more elegant to use revolutions.
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MrJoeyJoeJoey is not online. MrJoeyJoeJoey
Joined: 20 Aug 2011
Total Posts: 20787
04 Apr 2015 01:37 PM
Because it's way easier to think of degrees..

print(math.rad(90)) -- turns it 90 degrees


~Commands? Commands. www.roblox.com/Admin-item?id=232183441
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Spirographic is not online. Spirographic
Joined: 17 Aug 2007
Total Posts: 19084
04 Apr 2015 01:39 PM
local rev = (function(n) return n*2*math.pi end)

One line. Will automatically convert revolutions into radians for use with Lua, much like math.rad does for degrees.

Punch in rev(1), and you'll get one revolution around the unit circle.
rev(.25) is a 90 degree angle.
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MrJoeyJoeJoey is not online. MrJoeyJoeJoey
Joined: 20 Aug 2011
Total Posts: 20787
04 Apr 2015 01:43 PM
Still easier to use degrees


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Wittiest is not online. Wittiest
Joined: 02 Mar 2009
Total Posts: 9665
04 Apr 2015 01:44 PM
Anyone who takes trigonometry will know 180 degrees = 1 radian. It is as simple as revolutions to you after that.
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MrJoeyJoeJoey is not online. MrJoeyJoeJoey
Joined: 20 Aug 2011
Total Posts: 20787
04 Apr 2015 01:47 PM
a radian is the radius to the circumference
180 ~= 1 raidian
I think

~Commands? Commands. www.roblox.com/Admin-item?id=232183441
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Spirographic is not online. Spirographic
Joined: 17 Aug 2007
Total Posts: 19084
04 Apr 2015 01:49 PM
@Wit
I don't know what you've been smoking, but I want some of that.

1 radian = 57.2957795 degrees
1pi radians, however, is 180 degrees.
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TheRealDado is not online. TheRealDado
Joined: 15 Jun 2014
Total Posts: 1888
04 Apr 2015 01:49 PM
there are 2 pi radians in a circle

so

180 degrees = pi radians
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DrMathematica is not online. DrMathematica
Joined: 29 Aug 2008
Total Posts: 27268
04 Apr 2015 02:03 PM
Radians become a lot easier when you see this:

http://upload.wikimedia.org/wikipedia/commons/4/4e/Circle_radians.gif
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JarodOfOrbiter is not online. JarodOfOrbiter
Joined: 17 Feb 2011
Total Posts: 20029
04 Apr 2015 02:08 PM
Ugh. Why use radians OR degrees? Just use gradians. (Jk, I like degrees for easy usage)
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Cocolopez076 is not online. Cocolopez076
Joined: 31 Jul 2014
Total Posts: 8
04 Apr 2015 02:18 PM
what does it mean
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b6e is not online. b6e
Joined: 14 Nov 2014
Total Posts: 33
04 Apr 2015 02:51 PM
revolutions > all

wait for AxisAngle to explain...
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JarodOfOrbiter is not online. JarodOfOrbiter
Joined: 17 Feb 2011
Total Posts: 20029
04 Apr 2015 02:55 PM
AxisAngle doesn't read this place, does he?
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Spirographic is not online. Spirographic
Joined: 17 Aug 2007
Total Posts: 19084
04 Apr 2015 03:14 PM
I'm not sure if AxisAngle reads these, but I agree with the statement that revolutions > all.

It's very simple. You can think of it as percentage of rotation - 100% being 1, being a single revolution around the object, 25% being .25, being a 90 degree angle, et cetera.

Put simply, it's more elegant than either degrees or radians. Degrees seem broken up into arbitrary integers of units per revolution, while radians are a complete mess to work with in general since they don't round out to any nice clean numbers which are more easily digestible.
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neverhammer is not online. neverhammer
Joined: 13 Sep 2009
Total Posts: 963
04 Apr 2015 03:47 PM
You're just a tao type of person
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anaIyze is not online. anaIyze
Joined: 29 May 2014
Total Posts: 2048
04 Apr 2015 04:01 PM
because radians are easier to understand than revolutions
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morash is not online. morash
Joined: 22 May 2010
Total Posts: 5834
04 Apr 2015 07:28 PM
"a radian is the radius to the circumference"

First time I've ever seen somebody confuse radians and pi.
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amanda is not online. amanda
Joined: 21 Nov 2006
Total Posts: 5925
04 Apr 2015 07:29 PM
Behold, AxisAngle shall post.
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AxisAngle is not online. AxisAngle
Joined: 16 Jun 2008
Total Posts: 1319
04 Apr 2015 07:29 PM
Revolutions are better than all when thinking about angles. In order to describe degrees, you need to work either in terms of revolutions and define degrees as "There are 360 degrees in a circle" Or you have to define degrees in terms of radians "It takes 180/pi degrees to travel a distance of 1 around the outside of a unit circle (radius = 1)", so degrees are a secondary way of describing an angle.
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mycheeze is not online. mycheeze
Joined: 27 Jun 2011
Total Posts: 6748
04 Apr 2015 07:32 PM
Axis the math god has come to confirm revolutions is key

I t0tes h8 numbers so I wouldn't care <3
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AxisAngle is not online. AxisAngle
Joined: 16 Jun 2008
Total Posts: 1319
04 Apr 2015 07:34 PM
Radians are > than all for actually working out math. They're also the natural way for describing an angle. If you have a circle and you know its radius, and you have an angular velocity of 1 radian/second, then it will roll across the ground at a speed of 1 radius/second. Yeah. Pretty cool, huh? That's not a coincidence, either.
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mycheeze is not online. mycheeze
Joined: 27 Jun 2011
Total Posts: 6748
04 Apr 2015 07:36 PM
Axis bb, y must u blow 0wr minds wiff ur math 2 make us feel inadequate

do u enjoy torching me bb?
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AxisAngle is not online. AxisAngle
Joined: 16 Jun 2008
Total Posts: 1319
04 Apr 2015 07:36 PM
Tau is the best unit for describing angles. It's 1 rotation, calculated with C/d. When working in revolutions, if you want 1/3rd of a circle, just say Angle=1/3*tau. You never need to use functions like rad(revolution) or deg(radian) or rad(degree) again.

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AxisAngle is not online. AxisAngle
Joined: 16 Jun 2008
Total Posts: 1319
04 Apr 2015 07:37 PM
Okay. Time to rip degrees.


Degrees, on the other hand, are defined in a completely arbitrary way. 360's only special property is that lots of numbers divide into it relative to its size (24 divisors)

1/15th of all numbers less than or equal to 360 divide evenly into 360.

But relative to its size, there are other numbers which are better than 360, like 12. 1/2 of all numbers less than or equal to 12 divide into 12.
But the best number is 1. ALL numbers less than or equal to 1 divide into 1. So 1 beats 360 at its own game.

And if you want even more divisors, we can make a much better number than 360 for having tons of divisors.

2^4 * 3^3 * 5^2 * 7^1 = 75600, which has 120 divisors.
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mycheeze is not online. mycheeze
Joined: 27 Jun 2011
Total Posts: 6748
04 Apr 2015 07:39 PM
This math wizz is freaking me out, pls sed8 me b4 I go bonkers
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