How to Convert ° to rad: Complete Guide

Converting from ° to rad is a common task in mathematics, engineering, navigation, and computer graphics. Whether you need a quick answer or want to understand the math behind the conversion, this guide covers everything you need.

Quick Answer

**1 ° = 0.0174533 rad**. To convert any value from ° to rad, multiply by 0.0174533.

The Conversion Formula

The formula is straightforward: **rad = ° × 0.0174533**. For the reverse conversion, divide by 0.0174533 instead: **° = rad ÷ 0.0174533**.

Common Conversion Table

Here are the most commonly needed conversions: - 0.1 ° = 1.745e-3 rad - 0.5 ° = 8.727e-3 rad - 1 ° = 0.0174533 rad - 2 ° = 0.0349066 rad - 3 ° = 0.0523599 rad - 5 ° = 0.0872665 rad - 10 ° = 0.174533 rad - 15 ° = 0.261799 rad - 20 ° = 0.349066 rad - 25 ° = 0.436332 rad - 50 ° = 0.872665 rad - 100 ° = 1.74533 rad - 250 ° = 4.36332 rad - 500 ° = 8.72665 rad - 1000 ° = 17.4533 rad

When You Need This Conversion

This conversion is commonly needed in mathematics, engineering, navigation, and computer graphics. Understanding the relationship between ° and rad helps you work efficiently across different measurement systems and standards.

Tips for Quick Conversions

Since 1 ° equals 0.0174533 rad, each ° is somewhat smaller than a rad. For quick estimates, divide by 57.2958. For precise results, use our free converter tool.

Use Our Free Converter

Skip the manual math and use our free ° to rad converter for instant, accurate results. It includes a conversion table, formula explanation, and related conversions — all optimized for mobile and desktop.