Roof Pitch Calculator UK
Use this roof pitch calculator to convert rise and run into roof angle, pitch ratio, and slope. It is useful for roofing estimates, extension planning, rafter setting out, and quick site checks where you need to sense-check the shape of a pitched roof. Many UK users measure in millimetres, but the maths works the same in mm, cm, metres, inches, or feet as long as both inputs use the same unit. This tool gives you a fast answer before you move on to rafter length, roof covering choice, or batten spacing.
How to use this calculator
- 1.Enter the rise and run of the roof, or switch to the angle tab if you already know the roof angle.
- 2.Choose metric or imperial units depending on how the roof has been measured.
- 3.Read the result as a roof angle in degrees, a pitch ratio, and a slope value.
- 4.Use the result as a quick planning check before moving on to rafters, battens, tiles, slates, or other roofing details.
Formulas used
Pitch ratio
pitch = rise / run
Angle in degrees
angle = arctan(rise / run)
Slope percentage
slope % = (rise / run) × 100
X in 12 pitch
X = 12 × (rise / run)
Slope factor / pitch multiplier
slope factor = √(1 + (rise / run)²)
Rafter length from rise and run
rafter length = √(rise² + run²)
Use the same unit for rise and run. The result stays correct whether you measure in mm, cm, metres, inches, or feet.
Worked example
Take a small extension roof with a rise of 1200 mm and a run of 3000 mm. Divide the rise by the run and you get 0.4. That converts to a roof angle of about 21.8 degrees. In practical terms, that is a moderate pitch rather than a very shallow one. It may suit many pitched-roof applications, but the final covering still depends on the specific tile, slate, or roofing system being used and the manufacturer's minimum pitch guidance.
Pitch, angle and minimum roof pitch
Roof pitch and roof angle describe the same roof shape in different formats. Pitch is often shown as a ratio, such as 4:12, while roof angle is shown in degrees. A 4:12 pitch works out at roughly 18.4 degrees. That matters because roof coverings are not interchangeable at every slope. In the UK, the minimum pitch depends on the exact roofing product and the full roof build-up, not one universal number. As a quick rule of thumb, lower-pitch roofs need more care with product selection and detailing.
Why roof pitch matters
Getting the pitch right affects more than appearance. It influences runoff, tile or slate suitability, felt and batten layout, and how easily the roof sheds water in exposed conditions. It also affects follow-on calculations such as rafter length and true roof area. If you are pricing work, ordering materials, or checking whether a roof covering is suitable, pitch is usually one of the first numbers you need.
Frequently asked questions
Related tools
- Rafter Length Calculator UK — calculate rafter length from span and pitch
- Tile Calculator — estimate tile quantities for your roof area
- Roof Batten Spacing Calculator — work out batten gauge and courses
- Roof Tile Calculator — work out gauge, tiles per m² and total tiles for your roof
- How to Calculate Roof Pitch UK — four measuring methods, the formula, and when precision matters
Disclaimer: This calculator is for estimation and planning only. Final roof design, structure, and covering choice should always be checked against project requirements, manufacturer guidance, and professional advice where needed.