Gradient Calculator

Calculate gradient as a ratio, percentage and angle.

Gradient

1 in 10

Gradient
10 %
Angle
5.71 °

v1.0 · Reviewed September 2026

How this is worked out

The ratio is the horizontal distance ÷ the rise, expressed as 1 in n. The percentage is rise ÷ run × 100, and the angle is the arctangent of rise ÷ run.

Worked example

  • Rise 1 m
  • Run 10 m

10 ÷ 1, and 1 ÷ 10 × 100

1 in 10, which is 10% or 5.71°

Assumptions and limits

  • The run is horizontal distance, not the sloping length along the surface. Using the slope length slightly understates the gradient.
  • 1 in 10 is not the same as 10 degrees. The three figures are different ways of describing the same slope.
  • Not a compliance check. Approved Document M sets its own limits for ramps and access routes.

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