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Elevation Grade Calculator

Find the grade (slope) between two points as a percentage, fraction and angle, or the rise or run for a given grade.

Change the values and press Calculate to work out your own figures.

Grade from rise and run

Enter the rise and the run.

About riseVertical change.
About runHorizontal distance.
Result
Grade
31.25%
As a fraction
5/16
Decimal
0.3125
Angle
17.354°
Ratio
1:3.2

The grade is 31.25% (17.354°).

Show the working
  1. grade = rise ÷ run; percent = grade × 100; angle = atan(grade)

Rise from grade and run

Enter the run and the grade.

About runHorizontal distance.
About gradeIn percent or degrees.
Result
Vertical rise
2 ft

The rise is 2 ft.

Show the working
  1. rise = run × grade

Run from grade and rise

Enter the rise and the grade.

About riseVertical change.
About gradeIn percent or degrees.
Result
Horizontal run
24.0096 ft

The run is 24.0096 ft.

Show the working
  1. run = rise ÷ grade

How to use it

Enter the rise and the run. Enter the run and the grade. Enter the rise and the grade.

Lengths can be decimals, fractions or tape entries such as 12' 6 1/2" (in feet or inches). Prices are optional.

Key facts

grade = rise ÷ run; percent = grade × 100; angle = atan(grade)

Common grades

Drainage away from a house: at least 2% (1/4 in per foot). Wheelchair ramps: at most 8.33% (1:12).

Questions

What grade is a 25 ft rise over 80 ft?

31.25% (17.35°).

How long must a ramp be to rise 2 ft at 1:12?

24 ft (8.33%).

Formulas

grade = rise ÷ run; percent = grade × 100; angle = atan(grade)

Sources

Limitations

  • Material densities are typical values (the midpoint of the commonly published range); real loads vary with moisture, grading and compaction, so check with your supplier or type in their density.
  • Tank results are the geometric volume; real tanks have wall thickness and fittings.

Formula version 0.1.0Reviewed