What is the Angular speed of the sun around Sgr A?

The Sun has a period around the galactic center (which is normally taken to be Sgr A*) of T~2.5 x 10^8 years = 250 Myr, meaning it will complete a turn around the galaxy in that time.
The angular speed of the Sun around the gal. center will then be w = 2*pi/T = .025 rad/Myr.