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# How Many Degrees In A Sphere?

## Posts (131)

• #741200 - 14 years ago

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.

• #741203 - 14 years ago

18

• #741207 - 14 years ago

A Zillion.

• #741214 - 14 years ago

Nuh-uh.

A googlian!

• #741221 - 14 years ago

googoplex • #741242 - 14 years ago

however you would use non Eclidian principles to accurately measure and distance in a trigometric fasion in space... (falls asleep) ZZZZZZZZzzzzzzzzzzzZZZZZzzzzzzzzzzzzzzZzzzzzzzz...

• #741252 - 14 years ago

I think that this is a start but would be to complicated. A sphere would need 2 measures, a mark and bearing from the 0,0 mark at the center of the sphere to the outer edge via a 360 degree circle by intersecting it with a horizontal and vertical plane.

• #741314 - 14 years ago

This site confuses the hell out of me, so its probably right.Linky

• #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

• #741678 - 14 years ago

Correct. Cylindrical coordinates can also describe a sphere, but not as easily.

• #741684 - 14 years ago

In reply to cryptohex1,#9 and Bix, #10:

Thats why college sucked for me....

• #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

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 2-dimensional 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).

• #742115 - 14 years ago

42

• TheDarksage

#742118 - 14 years ago

There are an infinite number of degrees in a sphere or any three dimensional object for that matter.

• #742119 - 14 years ago

• #742124 - 14 years ago

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.

• #742126 - 14 years ago

there is no such thing as a square degree.

• #742135 - 14 years ago

A degree is a one dimensional measurement (right? because to map a coordinate, you need two sets of degrees) I don't think you can have square degrees.

• #742169 - 14 years ago

42

• #742171 - 14 years ago

its pi

• #742190 - 14 years ago

No such thing as a meter per second squared, but I deal with those all the time in school.

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.

• #742203 - 14 years ago

googoplex I saw a movie there once.

• #742216 - 14 years ago