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Geometry Calculators

Slope Calculator — Rise, Run, Percent, Angle & Ratio

Convert rise and run into decimal slope, percent grade, angle, ratio and straight-line length.

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Calculated result

10%

Decimal slope: 0.1

Angle: 5.710593°

Slope length: 10.04987562

Ratio: 1:10

Show the working
  1. 1. Slope = rise ÷ run = 1 ÷ 10 = 0.1.
  2. 2. Percent = slope × 100 = 10%.
  3. 3. Angle = atan(slope) = 5.710593°.
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The calculation, without hidden assumptions

Slope is one relationship expressed several ways. Enter the rise and the run and this calculator returns the decimal slope, percent grade, angle in degrees, 1:n ratio and the straight-line length along the slope, so you can move between drainage, ramp, roof and road conventions without separate conversions.

How to use this calculator

1

Enter the vertical rise and the horizontal run in the same unit.

2

Review the decimal slope, percent grade and angle.

3

Use the ratio and slope length for layout and material lengths.

Where people use it

  • •Drainage and site grading
  • •Ramp, driveway and pipe fall layout
  • •Converting between percent grade and degrees

Example: 1 over 10

Grade is 10% and angle about 5.71°.

What the result does not assume

  • •Geometry only; check applicable codes and standards for allowable slopes.
  • •Run must be horizontal distance, not the length measured along the slope.

Frequently asked questions

Is 10% equal to 10 degrees?+

No. 10% is about 5.71°.

What is the difference between rise over run and percent grade?+

Percent grade is rise divided by run multiplied by 100, so a rise of 1 over a run of 10 is a 10% grade.

Can the rise be negative?+

Yes. A negative rise describes a downward slope and gives a negative grade and angle; the run must stay positive.

Semantic next steps

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