Symbols “degrees” and “degrees centigrade”: proper spacing

Question

For mathematical and physical units, usually there is a thin space between the number and the unit, in the LaTeX syntax for example $1008\,\mathrm{kPa}$.

However, I feel that angular degrees (e.g. $90°$), temperature degrees (e.g. $-2°\mathrm{C}$), and NESW degrees (e.g. $90°\mathrm{S}$) should be typeset without spaces.

What is the correct spacing of these?

Answer 1

You're half right!

In the case of degrees of arc, the degree symbol follows the number without any intervening space.

In the case of degrees of temperature, two scientific and engineering standards bodies (BIPM and the U.S. Government Printing Office) prescribe printing temperatures with a space between the number and the degree symbol, as in 10 °C.[2][3]

Source: Degree symbol on Wikipedia