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Angle Converter

Convert between different angle units including degrees, radians, gradians, arcminutes, arcseconds, and more. Perfect for mathematics, engineering, navigation, and scientific calculations.

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Common Conversions
Quick access to frequently used conversions
Unit Information

Metric Units

International System of Units (SI) measurements

rad
metric
Radian
Base unit of angle in the SI system
grad
metric
Gradian
Metric angle unit, 100 grad = 90°
mrad
metric
Milliradian
0.001 radians, used in optics and ballistics
μrad
metric
Microradian
0.000001 radians, very precise angle measurements

Imperial Units

Traditional British and American measurements

°
imperial
Degree
Most common angle unit, 1° = π/180 rad
′
imperial
Arcminute
1/60 of a degree, used in astronomy and navigation
″
imperial
Arcsecond
1/3600 of a degree, very precise angular measurements
mil
imperial
Mil
Military angle unit, 6400 mil = 360°

Scientific Units

Scientific and technical measurements

rev
scientific
Revolution
Complete circle, 1 rev = 2π rad = 360°
quad
scientific
Quadrant
Quarter circle, 1 quad = π/2 rad = 90°
sext
scientific
Sextant
Sixth of a circle, 1 sext = π/3 rad = 60°
oct
scientific
Octant
Eighth of a circle, 1 oct = π/4 rad = 45°
pt
scientific
Point
1/32 of a circle, used in navigation
h
scientific
Hour Angle
1/24 of a circle, used in astronomy
m
scientific
Minute of Time
1/1440 of a circle, used in astronomy
s
scientific
Second of Time
1/86400 of a circle, used in astronomy
Preferences

Common Use Cases

  • •Mathematics: Trigonometry, calculus, geometry calculations
  • •Engineering: Mechanical design, structural analysis, CAD
  • •Navigation: Compass bearings, GPS coordinates, surveying
  • •Astronomy: Celestial coordinates, telescope positioning
  • •Physics: Wave phase, rotation, angular velocity

Popular Conversions

180°→π rad
1 rad→57.2958°
90°→100 grad
60′→1°

How Our Angle Converter Works

1️⃣

Enter Angle Value

Input any angle value in the "From" field. Our converter accepts decimal numbers and scientific notation.

2️⃣

Select Units

Choose your source unit (e.g., degrees) and target unit (e.g., radians) from our comprehensive unit selection.

3️⃣

Get Instant Result

View the converted angle value in real-time. Copy results, explore common conversions, or check conversion history.

Understanding Angle Units

Base Units

rad (Radian)
Base unit in the SI system. 1 rad = arc length/radius = 57.2958°
° (Degree)
Most common angle unit. 1° = π/180 rad = 60 arcminutes.

Metric Units

grad (Gradian)
Metric angle unit. 100 grad = 90° = π/2 rad.
mrad (Milliradian)
0.001 radians, used in optics and ballistics.

Scientific Units

′ (Arcminute)
1/60 of a degree, used in astronomy and navigation.
″ (Arcsecond)
1/3600 of a degree, very precise angular measurements.

Frequently Asked Questions

How accurate is this angle converter?

Our angle converter uses precise conversion factors and maintains accuracy up to 10 decimal places. All conversions are based on internationally recognized standards.

Can I convert negative angles?

Yes, our converter supports negative values for applications like relative angle measurements, rotation direction, or mathematical calculations.

What is the highest angle value I can convert?

Our converter can handle angle values from -1 trillion to 1 quadrillion units, covering everything from micro-rotations to multiple full rotations.

How do I use scientific notation?

Enable "Show scientific notation" in preferences for very large or small values. You can also input values like 1e6 for 1,000,000.