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Stair Dimensions – Rise, Run & Angle

Quick answer

Full stair dimension sheet: riser 17-19 cm, tread 25-30 cm, angle 30-38°, nosing 2.5 cm and stair width, computed from your floor height.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the stair dimensions calculator works

Riser = Total Rise ÷ n; Tread = 63 − 2 × Riser; Angle = arctan(Riser ÷ Tread)

This tool applies the formula Riser = Total Rise ÷ n; Tread = 63 − 2 × Riser; Angle = arctan(Riser ÷ Tread) directly to the measurements you enter, so the result is an exact quantity rather than a rough guess. Because stair dimensions is priced and delivered per unit - cubic meters, square meters, bags or tonnes - a small measurement error multiplies across the entire order, which is why the calculation is worth doing properly. Worked example: 3.0 m rise, 16 risers → 18.75 cm riser, 25.5 cm tread (63 − 37.5), angle 36.3°, run 3.83 m. One note from practice: Check the diagonal opening: run + 1 m headroom triangle must fit inside the floor opening. Enter the total rise and available run length, check the totals, then round up to the nearest whole bag, sheet or roll before you place the order.

  1. 1

    Measure the space

    Record the total rise and available run length at the widest and longest points.

  2. 2

    Enter the values

    Type the measurements into the calculator and select your units.

  3. 3

    Apply the formula

    The tool computes Riser = Total Rise ÷ n; Tread = 63 − 2 × Riser; Angle = arctan(Riser ÷ Tread) for your inputs instantly.

  4. 4

    Add waste and order

    Review the total with a 5-10% margin and round up to whole units.

Use Cases

Deck building

Board, joist and screw counts for stair dimensions framing at 40 cm centers.

Fence projects

Post, rail and concrete quantities for stair dimensions runs.

Stair building

Rise, run and stringer cuts for code-compliant stair dimensions.

Common Mistakes

  • Using nominal as actual sizes

  • Spacing joists too wide

  • No ground-contact treatment

FAQs

Ideal riser and tread for homes?

Riser 17-19 cm with tread 27-30 cm lands at the sweet 63 cm stride and a 32-35° angle.

Total run needed for 16 risers?

16 risers × 27 cm treads (15 treads) = 4.05 m plus the top landing step at floor level.

Comfortable stair angle range?

30-38° residential; 42° compact attic stairs; anything steeper becomes a fixed ladder.

Nosing projection standard?

1.9-2.5 cm beyond the riser face - it adds effective tread without adding run.