The XBox 360 thread was getting off track because of I comment I made, so I decided to make a thread about it and direct the people there.
In my reasoning, a sphere would have 129,600 square degrees. My logic is that, if you have two circles, one corresponding to the vertical axis, and the other to the horizontal axis, and pick 1 point from each, you will get a corresponding point of a sphere. Each pair would reach a unique point, and since there are 360 degrees on each circle, then the answer would be 360^2 or 126,900 (I'm typing that number from memory... I may be wrong).
Now, I do know that the surface area of a sphere is 4 * Pi * Radius ^ 2. I also know that the volume is 4 / 3 * Pi * Radius ^ 3. But, we are dealing with degrees, not physical units.
How Many Degrees In A Sphere?
Posts (131)

#741200  14 years ago

#741242  14 years ago
In reply to reedmon29, #1:
however you would use non Eclidian principles to accurately measure and distance in a trigometric fasion in space... (falls asleep) ZZZZZZZZzzzzzzzzzzzZZZZZzzzzzzzzzzzzzzZzzzzzzzz... 
#741416  14 years ago
In the spherical coordinate system (ro, theta, phi)
ro (a screwed up looking p) is the radius of the sphere
theta is the angle measurement from the positve x axis
phi is the angle from the positive z axis down
phi can't be more than pi, or 180 degrees
theta's max is 2 pi, or 360 degrees
so its: (180 possible phi degrees) x( 360 theta degrees) = 64800 possible degree combinations
But thats not that accurate as far as discribing all the points on a shpere, as degrees break down into minutes and minutes into seconds and seconds into partial seconds.... which is why we use radians in math, much easier and less conversions.
So basically, there are 64800 whole degree combinations in a sphere
/doug 
#741983  14 years ago
there would be infinite
in a circle there is 360 (everyone should know that)
if you cut a sphere in half you have a flat side which is a circle and there are infinit ways to cut a sphere in half , so therefore if logic is correct there are inifinte 
#742034  14 years ago
In reply to l337_master, #12:
Well, that would be true in the same way that a cube has a surface area of infinite feet. Infinite feet, but definitely a finite number of square feet.
64800 sounds pretty good, but it seems a little low. My number, 126900, is definitely a tad too high, since it counts the same points a couple hundred times. 4 Pi sterandians is probably correct (Most likely because a mathematic website said so), but I have really no clue why. And I have no clue how to convert 4 Pi sterandians into square degrees. 
#742080  14 years ago
You're missing the point, here.
A degree is a 2dimensional measurement relative to its own plane. What that means is, in any given sphere, there are an infinite number of 2D circles that can be drawn, and each circle will have a slightly different plane than the previous one. Each circle will have 360 degrees, and 360 * infinity = infinity.
A good way to approach this, though, is to do it in vector geometry, i.e., give multiple points. That way, you can locate a point in 3D space by providing two degree measurements in 2D space (and the third point being, of course, the assumed distance provided by the radius of the sphere in question). 
#742118  14 years ago
There are an infinite number of degrees in a sphere or any three dimensional object for that matter.

#742124  14 years ago
In reply to BigAlP, #14:
Ok then... still, how many square degrees? I understand your point, and it would be valid if I was specifying degrees, but I'm looking for square degrees. There are infinite feet in a square mile, but there is only 5280^2 square feet in a square mile. 
#742190  14 years ago
In reply to tyguy101a, #19:
No such thing as a meter per second squared, but I deal with those all the time in school.
In reply to Vendor, #20:
A degree is a two dimensional item. 180 degrees of a circle is decidedly 2D. Degrees have no units, but they describe a 2D concept.