Online Unit Converters

Angle converter

This angle converter tool helps you convert between 38 different units:

All possible angle conversions

Below, we provide an overview of all the angle conversions available on this website to help you navigate and utilize our resources efficiently.

Unit Conversion
Degrees (°) Base unit
Radians (rad) Radians to Degrees | Degrees to Radians
Gradians (grad) Gradians to Degrees | Degrees to Gradians
Minutes of arc (') Minutes of arc to Degrees | Degrees to Minutes of arc
Seconds of arc (") Seconds of arc to Degrees | Degrees to Seconds of arc
Turns (turn) Turns to Degrees | Degrees to Turns
Quadrants (quadrant) Quadrants to Degrees | Degrees to Quadrants
Right angles (right angle) Right angles to Degrees | Degrees to Right angles
Sextants (sextant) Sextants to Degrees | Degrees to Sextants
Octants (octant) Octants to Degrees | Degrees to Octants
Decans (decan) Decans to Degrees | Degrees to Decans
Gons (gon) Gons to Degrees | Degrees to Gons
Mils (nato) (mil) Mils (nato) to Degrees | Degrees to Mils (nato)
Revolutions (rev) Revolutions to Degrees | Degrees to Revolutions
Circles (circle) Circles to Degrees | Degrees to Circles
Quettaradians (Qrad) Quettaradians to Degrees | Degrees to Quettaradians
Ronnaradians (Rrad) Ronnaradians to Degrees | Degrees to Ronnaradians
Yottaradians (Yrad) Yottaradians to Degrees | Degrees to Yottaradians
Zettaradians (Zrad) Zettaradians to Degrees | Degrees to Zettaradians
Exaradians (Erad) Exaradians to Degrees | Degrees to Exaradians
Petaradians (Prad) Petaradians to Degrees | Degrees to Petaradians
Teraradians (Trad) Teraradians to Degrees | Degrees to Teraradians
Gigaradians (Grad) Gigaradians to Degrees | Degrees to Gigaradians
Megaradians (Mrad) Megaradians to Degrees | Degrees to Megaradians
Hectoradians (hrad) Hectoradians to Degrees | Degrees to Hectoradians
Dekaradians (darad) Dekaradians to Degrees | Degrees to Dekaradians
Deciradians (drad) Deciradians to Degrees | Degrees to Deciradians
Centiradians (crad) Centiradians to Degrees | Degrees to Centiradians
Milliradians (mrad) Milliradians to Degrees | Degrees to Milliradians
Microradians (µrad) Microradians to Degrees | Degrees to Microradians
Nanoradians (nrad) Nanoradians to Degrees | Degrees to Nanoradians
Picoradians (prad) Picoradians to Degrees | Degrees to Picoradians
Femtoradians (frad) Femtoradians to Degrees | Degrees to Femtoradians
Attoradians (arad) Attoradians to Degrees | Degrees to Attoradians
Zeptoradians (zrad) Zeptoradians to Degrees | Degrees to Zeptoradians
Yoctoradians (yrad) Yoctoradians to Degrees | Degrees to Yoctoradians
Rontradians (rrad) Rontradians to Degrees | Degrees to Rontradians
Quecradians (qrad) Quecradians to Degrees | Degrees to Quecradians

What is an Angle?

An angle is a measure of the rotation between two intersecting lines or planes, typically expressed in degrees or radians. It is a fundamental concept in geometry, physics, and engineering, used to describe directions, orientations, and rotations.

Common Units of Angle

Angles are measured using different units depending on the application and measurement system. Below are the most commonly used units:

Unit Symbol Measurement System
Degree ° Common/Conventional
Radian rad SI (Metric System)
Gradian gon Metric System
Minute of Arc ' Astronomical/Navigation
Second of Arc " Astronomical/Navigation

How are Angles Measured?

Angles are measured using tools such as protractors, theodolites, and digital angle finders. In mathematical calculations, angles are often expressed in radians, where 1 radian equals approximately 57.3 degrees.

Applications of Angles

  • Architecture and engineering for structural design
  • Navigation and astronomy for positioning and orientation
  • Physics and mechanics to analyze motion and forces
  • Computer graphics for 3D modeling and animation

Frequently Asked Questions

What is the difference between degrees and radians?

Degrees divide a full rotation into 360 parts, while radians measure angles in terms of the radius of a circle, with a full rotation equal to 2π radians.

What is the difference between radians and gradians?

Radians and gradians are two different angular measurement units. A full circle is 2π radians (≈ 6.2832 rad) or 400 gradians (gon). One radian is approximately 57.3 degrees, while one gradian is 0.9 degrees. Radians are widely used in mathematics and physics, whereas gradians are mainly used in surveying and engineering.

Why are there 360 degrees in a circle?

The 360-degree system originates from ancient Babylonian mathematics, which used a base-60 numbering system, making 360 a convenient number for calculations involving fractions and symmetry.

What is a negative angle?

A negative angle represents a rotation in the clockwise direction, whereas a positive angle represents a counterclockwise rotation.