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Rise Over Run Calculator

Find the slope from the rise and run (or two points) as a fraction, decimal, angle and percent grade.

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

From rise and run

Enter the rise and the run.

About riseVertical change.
About runHorizontal change (not 0).
Result
Slope as a fraction
1/4
As a decimal
0.25
Angle
14.03624347°
Percent grade
25%
Ratio
1 : 4

Rise 3 over run 12 is a slope of 1/4 (14.03624347°, 25%).

Show the working
  1. slope = rise ÷ run; angle = arctan(slope); grade = slope × 100%

From two points

Enter two points.

About x₁First point, x.
About y₁First point, y.
About x₂Second point, x.
About y₂Second point, y.
Result
Slope as a fraction
1/4
As a decimal
0.25
Angle
14.03624347°
Percent grade
25%
Ratio
1 : 4

Rise 3 over run 12 is a slope of 1/4 (14.03624347°, 25%).

Show the working
  1. slope = rise ÷ run; angle = arctan(slope); grade = slope × 100%

How to use it

Enter the rise and the run. Enter two points.

Enter coordinates as whole numbers, decimals or fractions (3/4). Show the working gives the formula with your numbers.

Key facts

slope = rise ÷ run

Roof pitch and ramps

A 3-in-12 roof has a slope of 1/4 (14.04°, 25%); an accessible ramp is at most 1 : 12.

Questions

What slope is 3 over 12?

1/4 = 0.25, 14.03624347°, 25%.

What about a run of 0?

A vertical line: no slope.

Formulas

slope = rise ÷ run

Sources

Limitations

  • Vectors have two or three components (leave z blank for 2-D).
  • Earth distances assume the WGS 84 ellipsoid (sea level).

Formula version 0.1.0Reviewed