Fall calculator
Convert a fall or slope between 1 in X, per cent, degrees and rise over run, work it out from a drop and a length, and get the fall over any run, for gutters, drains, paving and ramps.
Sources: NCC 2025 Housing Provisions 7.4.4 (gutters).
Slope calculator
This calculator needs JavaScript, which is turned off or didn't load. You can still do it by hand: the formulas, the conversion chart and the worked examples below give the same answers.
Lengths in millimetres or feet and inches. The same maths as the Pitch calculator in the MeisterCalc app.
Published · By Sai Nath
Worked example: a 50 mm drop over 3 m of paving
- Slope: 50 ÷ 3000 = 0.0167.
- Per cent: 0.0167 × 100 = 1.67%.
- Degrees: arctan(0.0167) = 0.95°.
- 1 in X: 3000 ÷ 50 = 1 in 60, which is 16.7 mm of fall per metre.
The other way round: an eaves gutter at the NCC minimum of 1:500 falls 6000 ÷ 500 = 12 mm over a 6 m run.
How it works
- Slope = rise ÷ run, both in the same unit, with the run measured level.
- Per cent = slope × 100. Degrees = arctan(slope). 1 in X = 1 ÷ slope.
- Fall over a length = length ÷ X, or length × slope.
Common falls in the NCC Housing Provisions: eaves gutters not less than 1:500 (7.4.4), ground or paving next to a slab-on-ground house 50 mm over the first metre (3.3.3), and wet-area floors between 1:80 and 1:50 to the floor waste (10.2.12).
Pitch in MeisterCalc
Questions
Is 1 in 100 the same as 1:100 and 1%?
Yes. All three are 10 mm of fall for every metre of length.
What is a 2% slope in degrees?
arctan(0.02) = 1.15°. As a fall it is 1 in 50, or 20 mm per metre.
Which is steeper, 1 in 50 or 1 in 80?
1 in 50: 20 mm per metre against 12.5 mm. The smaller the X, the steeper the fall.
Sources
- NCC 2025 Housing Provisions, Part 7.4 Gutters and downpipes
- NCC 2025 Housing Provisions, Part 3.3 Drainage
- NCC 2025 Housing Provisions, Part 10.2 Wet area waterproofing
Building rules are set by the National Construction Code, the NZ Building Code or the Approved Documents and by your council, not by this page or the app.