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Calculators/Home & build/Roof pitch & rafter length
Home & build

Roof pitch & rafter length calculator

Angle, slope factor and true roof area.

What this calculator does

Roof pitch & rafter length works out angle, slope factor and true roof area. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaPitch angle = atan(rise/run); rafter = √(rise²+run²); roof area = plan area × slope factor

The inputs explained

FieldWhat to enter
Rise (m)A number, measured in m. Starts at 2.4.
Run (half the span) (m)A number, measured in m. Starts at 4.
Plan area of the roof (m²)A number, measured in m². Starts at 120.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with rise

Every other input is held at the calculator’s starting values while rise varies. Select any row to load that scenario into the calculator.

How the answer changes with rise
Rise (m)Pitch angleRafter lengthSlope factor
1.216.70°4.176 m1.044
1.824.23°4.386 m1.097
2.430.96°4.665 m1.166
3.641.99°5.381 m1.345
4.850.19°6.248 m1.562
7.260.95°8.237 m2.059