Build & renovate

Roof Pitch Calculator

One right triangle answers everything: the pitch in every notation and the rafter length along the slope.

Calculator

Fill in the fields above to see results.

How it works

Pitch = atan(rise / run); US notation expresses the same as inches of rise per 12 of run. Rafter length = sqrt(rise2 + run2) - add the eaves overhang and birdsmouth allowance when ordering.

Frequently asked questions

What is a 30 degree roof in x:12?

tan(30) x 12 = 6.9:12 - call it 7:12. Common UK tiled roofs run 30-45 degrees; low-pitch tiles and membranes go shallower with the right spec.

What roof pitch is walkable?

Up to about 6:12 (26 degrees) most trades will walk with care; beyond that it is boards, roof ladders and scaffold - plan access, not bravery.