Use this workshop calculation to turn measured dimensions and the selected construction convention into a cut, spacing, fit, or material-planning value.

Rise (cm)

Riser height per step in centimeters.

Run (cm)

Tread depth per step in centimeters.

Compute the stair pitch angle in degrees as the arctangent of the rise over the run. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Pitch angle (°)

Stair pitch angle in degrees, arctangent of rise divided by run.

• Nominal dimensions, kerf, moisture movement, hardware clearances, wall squareness, and manufacturer instructions can change the required shop dimension. Measure the actual assembly and test critical joints on scrap before cutting finished material.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Complement the calculated dimension with a physical story stick, dry fit, or full-size layout. Follow the hardware, coating, adhesive, or machine manufacturer's limits where they differ from a rule of thumb.

• Bevel Angle

  Bevel angle of a sloped cut from vertical rise and horizontal run in the same length unit; measured from the horizontal.

• Dovetail Angle Hardwood

  Compute the dovetail angle in degrees for a 1:n slope ratio suited to hardwood.

• Dovetail Angle Softwood

  Compute the dovetail angle in degrees for a 1:n slope ratio suited to softwood.