The calculation, without hidden assumptions
Slope is one relationship expressed in several languages: rise/run, decimal slope, percent grade and angle. Showing them together prevents a common mistake—treating a 10% grade as a 10° angle—and makes the tool useful for drawings, ramps, drainage and general geometry.
How to use this calculator
Enter vertical rise and horizontal run in the same unit; rise may be negative for a descending slope.
The run must be positive.
Read decimal slope, percent grade, angle, simplified rise:run relationship and straight-line length.
Where people use it
- •Drawing and field-grade checks
- •Ramp and drainage geometry
- •Converting roof or road slope notation
Example: rise 1 over run 10
The decimal slope is 0.1, the grade is 10%, and the angle is about 5.711°. These are equivalent descriptions, not interchangeable numbers.
What the result does not assume
- •This page reports geometry only; accessibility, drainage, road or building requirements must be checked against the applicable standard.
- •A run of zero represents a vertical line and is intentionally rejected by this rise/run calculator.
Frequently asked questions
Is 10% slope equal to 10 degrees?+
No. A 10% grade corresponds to arctan(0.10), about 5.71°.
Can slope be negative?+
Yes. A negative rise produces a negative grade and angle, representing a descending direction.
What is rise over run?+
It is the vertical change divided by the horizontal change.
Semantic next steps
Continue the calculation
These links move to a different input, formula or project stage rather than a keyword variation of this page.
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Keep the result connected to the real job
MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.