If you want to do it by hand, the standard formula is:
TFOV = (Eyepiece Field Stop Diameter / Telescope Focal Length) × 57.3
(57.3 converts radians to degrees.)
Easier method: Use the Apparent Field of View (AFOV) method:
True FOV = (Eyepiece AFOV) / Magnification
Example:
Before you click a button on a web tool, you must understand the two types of FOV: Apparent (AFOV) and True (TFOV). A hot astro FOV calculator automates this, but the formula is the bedrock:
TFOV = (Eyepiece Field Stop Diameter / Telescope Focal Length) x 57.3
For cameras: TFOV = (Sensor Width / Telescope Focal Length) x 57.3
Let’s run a live scenario. Assume you own a Celestron C8 (2032mm focal length) and you just bought the “hot” new Tele Vue Ethos 13mm (100° AFOV).