Slope Grade Angle Calculator

Slope, grade, and angle all describe how steep an incline is — a ramp, road, roof, or trail — just expressed in different ways.

run rise θ
Instant Result
Slope Ratio -
Grade (%) -
Angle -
Slope Length -
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What Is a Slope, Grade & Angle Calculator?

Slope, grade, and angle all describe how steep an incline is — a ramp, road, roof, or trail — just expressed in different ways. This calculator takes the rise (vertical change) and run (horizontal distance) and converts between all the common formats: ratio, percent grade, angle in degrees, and the actual slope (hypotenuse) length.

How to Use This Slope, Grade & Angle Calculator

  1. Measure the rise (how much the incline goes up) and the run (the horizontal distance it covers).
  2. Enter both values into the fields above.
  3. Click Calculate to see the slope ratio, percent grade, angle, and slope length.

Formula

Worked Example

A wheelchair ramp rises 1 ft over a 12 ft run. Grade = (1/12) × 100 ≈ 8.33%. Angle = arctan(1/12) ≈ 4.76°. Slope Length = √(1² + 12²) ≈ 12.04 ft — a grade right around the common 1:12 accessibility standard.

Frequently Asked Questions

What's the difference between slope grade and angle?

Grade is a percentage (rise/run × 100); angle is in degrees using arctangent of rise/run.

How is slope grade calculated?

Grade % = (vertical rise ÷ horizontal run) × 100.

How is slope angle calculated?

Angle = arctan(rise ÷ run).

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