Graus → radianos

rad = °·π/180.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

rad
0,7854 rad

About this calculator

This degrees-to-radians calculator converts angles from the most common system in geography to the unit used in advanced mathematical calculations. The formula is rad = ° × π/180, where degrees are multiplied by π (3.1416) and divided by 180. This conversion is critical in navigation, cartography, and physical sciences, where a circle is represented as 2π radians instead of 360°.

To use it, simply input the degree value and get the radian equivalent. For example, 90° equals π/2 radians, and 180° equals π radians. This conversion is vital for geographic coordinate calculations, trigonometry in mapping, and wave analysis in physics. Always verify π's precision (typically 3.1416) and ensure your calculator is in 'radian' mode after conversion.

Common precautions: don't confuse degrees with arc minutes or seconds. The calculator doesn't convert these units. If working with decimal degrees (e.g., 30.5°), keep the decimal format during conversion. Mistakes often occur when scientific calculators require switching to 'radian' mode for trigonometric functions after this transformation.

Frequently asked questions

What's the difference between radians and degrees?

Degrees divide the circle into 360 equal parts, while radians use π as a base (2π radians = 360°). Radians are preferred in scientific calculations.

Why is this conversion useful in geography?

It enables distance calculations between coordinates, map projections, and trigonometric analyses for global or local scales.

Can I express results as fractions of π?

Yes, mathematical contexts often show results as π multiples (e.g., π/2, 3π/4).

Why doesn't my decimal result match this calculator?

Ensure your device is in 'radian' mode after conversion. Some calculations require π precision adjustments.

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