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Slope, Grade and Angle Converter

Convert between slope percent, ratio and degrees.

Inputs

Results

Angle4.573921Β°
Ratio (1 in N)12.5
Rise per 100 m8m

Chart

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Describe what you want to find β€” β€œroad grade” β€” and jump to the right calculator.

How to use the slope, grade and angle calculator

Convert between slope percent, ratio and degrees. Enter grade in the field above; the angle, ratio (1 in n), rise per 100 m are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Angle (Β°) = atan(g / 100)
Ratio (1 in N) = 100 / g
Rise per 100 m (m) = g

Variables

  • g β€” Grade (%)

Worked example

With grade = 8 %, the calculator gives angle β‰ˆ 4.573921 Β°; ratio (1 in n) β‰ˆ 12.5; rise per 100 m β‰ˆ 8 m.

Frequently asked questions

What is the formula for the slope, grade and angle calculation?

Angle (Β°) = atan(g / 100). Ratio (1 in N) = 100 / g. Rise per 100 m (m) = g. Here g is grade (%).

What inputs do I need for the slope, grade and angle converter calculator?

You need grade in %. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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