A bolt hole circle is sine and cosine around a center: X = center + radius times cosine of the angle, Y = center + radius times sine. The formula and a worked set.
A canned cycle is a built-in routine the control expands into many moves from one block: a drilling, boring, or tapping operation packed into a single line.
G81 is a simple drill cycle and G83 is a peck drill cycle for deep holes. Here is how canned cycles work, their R, Z, and Q words, and when to use each.