What is the unit of omega? I think it does not have a unit because A and r^2 have the same units.

YutianW

Is A the value of the area on the sphere surface? If so, in practice, how do we calculate its value? Do we do the approximation and assume that A is on a plane?

kpshah

is A the surface area of a portion of the sphere or is it an approximation onto a plane?

jcm

It would be helpful if omega was labeled on the diagram as I'm not sure what quantity it represents.

urae

Why do we measure the ratio of A to r^2 instead of measuring area-to-area ratio?

Joshua

For sphere, why it's divided by r^2, where does ^2 comes from?

ml2

How exactly would you draw the angle that is being calculated? It seems like there can be many regions of area A that would produce different angles?

Coyote

What exactly does it mean for something to have steradian units? I have no idea what that means since A/r^2 is unitless, meaning we'll need to give it some units, but why not just radians^2 or something like that?

superbluecat

would it be well-defined to have different sum of 2 pi and 4 pi?

What is the unit of omega? I think it does not have a unit because A and r^2 have the same units.

Is A the value of the area on the sphere surface? If so, in practice, how do we calculate its value? Do we do the approximation and assume that A is on a plane?

is A the surface area of a portion of the sphere or is it an approximation onto a plane?

It would be helpful if omega was labeled on the diagram as I'm not sure what quantity it represents.

Why do we measure the ratio of A to r^2 instead of measuring area-to-area ratio?

For sphere, why it's divided by r^2, where does ^2 comes from?

How exactly would you draw the angle that is being calculated? It seems like there can be many regions of area A that would produce different angles?

What exactly does it mean for something to have steradian units? I have no idea what that means since A/r^2 is unitless, meaning we'll need to give it some units, but why not just radians^2 or something like that?

would it be well-defined to have different sum of 2 pi and 4 pi?