Billiards Cut Angle Calculator

Table size 7 ft table 8 ft table 9 ft table

Target pocket Top-right Top-middle Top-left Bottom-right Bottom-middle Bottom-left

Units Inches Centimetres

Cue ball x

Cue ball y

Object ball x

Object ball y

Measure from the bottom-left corner of the playing surface: x runs along the long rail, y across the table. Pocket names follow the table as drawn. Ball centres must sit at least one ball radius (1.125 in / 2.86 cm) inside the cushions.

Calculate cut angle Reset

White is the cue ball, amber the object ball and the dashed circle the ghost ball — where the cue ball's centre must be at contact. The blue line is the cue-ball path and the amber dashes the object ball's path to the pocket.

The calculation uses the line of centres: the ghost-ball centre sits two ball radii behind the object ball on the line to the pocket, and the cut angle is the angle between the cue ball's path to that point and the object ball's path to the pocket. Standard American pool balls are 2.25 in (57.15 mm) across. The model assumes a centre-ball hit with no side spin, no throw, no cushion contact and no pocket-jaw effects, so treat it as a planning aid rather than a promise that the shot drops. Everything runs in your browser; nothing is sent or stored.