Geography

Terrain Slope Calculator

Calculate terrain slope as both a percentage and an angle.

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Move between map scale, population, geographic distance, midpoint, bearing and terrain-slope calculations.

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Calculate terrain slope as both a percentage and an angle.

How it works

Enter compatible geographic values. The calculator validates the numerical inputs and applies Slope (%) = Rise / Run × 100; Slope angle = atan(Rise / Run).

The formula

Slope (%) = Rise / Run × 100; Slope angle = atan(Rise / Run)

Variables: Rise = Vertical rise; Run = Horizontal run.

Worked example

Example: A rise of 10 over a horizontal run of 100 gives a 10% slope and an angle of approximately 5.71°.

Frequently asked questions

What is this Geography calculator intended for?

It is an educational tool for map scale, population and spherical geographic calculations.

Is the result suitable for professional surveying or official statistical reporting?

Not automatically. Surveying can require ellipsoidal geodesy, a specified datum and higher-precision methods, while official statistics can use defined population, land-area and growth methodologies.

Last content reviewSeptember 26, 2026
Editorial reviewHe-Sab Editorial Review

Sources and references

These sources are used to verify terminology, formulas, and information related to this calculator.