site / materials / grades

Grade and slope calculator.

Convert a vertical rise or fall and horizontal run into grade percentage, angle, ratio, direction, and slope length for early site and surveying checks.

read the result

Keep the sign convention visible.

A positive vertical change means the endpoint rises along the selected horizontal run. A negative change means it falls. The same straight geometry can be described as a percentage, an angle, or a ratio.

Governing relationships

grade = Δh/L × 100, angle = tan−1(Δh/L), and slope length = √(L² + Δh²). For a non-zero rise or fall, the ratio is shown as 1 in L/|Δh|.

Conversion is not a design approval.

  • Check the applicable maximum grade, crossfall, accessibility, vehicle, drainage, road, rail, and maintenance requirements separately.
  • Confirm whether “run” means horizontal plan distance, chainage, or another project-specific measure.
  • For earthworks, also check side slopes, benches, erosion, geotechnical stability, settlement, and construction tolerances.