Roof Pitch Calculator

Calculate roof pitch in degrees, ratio, and percentage. Find rafter length and roof area based on rise and run measurements.

How it works

Pitch = rise ÷ run (expressed as x-in-12). Angle = arctan(rise ÷ run). Roof area = footprint × pitch multiplier, where multiplier = √(rise² + 12²) ÷ 12.

Worked example

A 6:12 pitch is 26.57° with a multiplier of 1.118. A 1,500 sq ft footprint therefore has about 1,677 sq ft of roof surface — roughly 17 squares of shingles.

Frequently asked questions

What is a walkable roof pitch?

Up to about 6:12 is generally walkable with care. From 7:12 upwards roofers need harnesses and roof jacks, which raises labour costs.

What is the minimum pitch for shingles?

Asphalt shingles need at least 2:12 with a double underlayment, and 4:12 for standard installation. Below 2:12 you need a membrane roof instead.

Why does pitch change material quantities?

Steeper roofs have more surface area for the same footprint. A 12:12 pitch adds 41% more area than a flat plan view of the same house.