Angle Conversion Table

Comprehensive reference table for converting between different angular measurement units. Find precise conversion factors for degrees, radians, gradians, and specialized units.

UnitSymbolCategoryDegreesRadiansConverted Value
Degree°Common10.0174532931 °
RadianradCommon57.2957810.017453293 rad
GradiangradSurveying0.90.0157079631.1111111 grad
TurnturnCommon3606.28318530.0027777778 turn
Arcminute'Navigation0.0166666670.0002908882160 '
Arcsecond"Navigation0.000277777780.00000484813683600 "
MilliradianmradNavigation0.057295780.00117.453293 mrad
QuadrantquadCommon901.57079630.011111111 quad
SextantsextNavigation601.04719760.016666667 sext
OctantoctNavigation450.785398160.022222222 oct

Real-time Conversion

Convert between angle units instantly with high precision calculations.

Smart Search

Quickly find specific angle units with intelligent search and filtering.

Multiple Categories

Organized by common, navigation, and surveying applications.

How to Use This Angle Conversion Table

1

Select Input Unit

Choose your source angle unit from the dropdown menu. Use category filters to focus on specific unit types.

2

Enter Value

Input the angle value you want to convert in the selected unit.

3

View Results

The table automatically displays equivalent values in all supported angle units.

4

Use Conversions

Copy the converted values for use in your calculations or applications.

Common Angle Conversions

1 Degree = 0.0175 Radians
Multiply by π/180
1 Radian = 57.296 Degrees
Multiply by 180/π
Full Circle = 360° = 2π radians
Complete rotation
1 Gradian = 0.9 Degrees
Multiply by 0.9

Use Cases for Angle Conversions

Engineering & CAD

Convert angles in mechanical design, structural engineering, and computer-aided design applications.

Navigation & GPS

Calculate bearings, headings, and coordinates for maritime, aviation, and land navigation systems.

Angle Conversion FAQ

What is the difference between degrees and radians?

Degrees divide a circle into 360 parts, while radians use the radius length as the unit. One full circle equals 360° or 2π radians.

When should I use gradians instead of degrees?

Gradians (400 per circle) are used in surveying and some European engineering applications for their decimal convenience in calculations.

What are mils and when are they used?

Mils are angular units used in military and artillery applications. NATO mils divide a circle into 6400 parts for precise targeting calculations.