Convert a rise-over-run slope into gradient percentage, ratio, angle and grade — distinct from the two-point slope tool.
Gradient
How to use this tool
Vertical height gained, in any consistent unit.
Horizontal distance, in the same unit.
Percentage grade, 1-in ratio and angle.
The rise per 100 units is handy for ramps and drainage falls.
Formula & worked example
A rise of 3 over a run of 20 is a 15% gradient, a ratio of 1 in 6.67, and an angle of 8.53°.
Limitations — read this before you rely on it
A single straight segment only; curved or changing slopes need to be split into segments, and run must be horizontal distance, not slope length.
Frequently asked questions
That tool takes two coordinate points and gives slope, intercept and equation; this one takes one rise-over-run segment and gives grade, ratio and angle.
The maths is the same ratio, but “gradient” here means the grade of a physical slope, road or ramp.
A 45° slope, where rise equals run — not a vertical wall.
Yes — a negative rise is a downhill gradient, shown with a negative percentage and angle.
Road gradient signs show the percentage, e.g. 10% means 10 units up per 100 along.