Angle Converter
Free Angle Converter — Convert Degrees, Radians, Gradians & More Instantly
Convert angles between any units instantly with OmniConverter's free online angle converter. Supports degrees (deg), radians (rad), grad (gradian), minutes of arc (arcmin), seconds of arc (arcsec), gon, sign, mil, revolution (r), circle, turn, quadrant, right angle, and sextant. Whether you're a mathematician, surveyor, astronomer, navigator, engineer, or student studying geometry and trigonometry, our converter delivers precise angle conversions in real time.
How It Works
Convert in three simple steps.
Enter the Angle Value
Type the angle measurement you want to convert into the Input Value field. For example, enter 180 to convert 180 degrees, or 3.14159 to convert π radians.
Select Source and Target Angle Units
Choose your input unit on the left (e.g., degrees, radians, gradians, minutes of arc) and your desired output unit on the right dropdown menu.
View Your Converted Angle
The converted angle appears instantly. Useful for mathematics, surveying, astronomy, navigation, engineering, and any scenario requiring precise angle conversions between degrees, radians, and other units.
Popular Conversions
Common Benchmarks
Reference
1 ° → °
1 °
Reference
1 ° → rad
0.0174532925 rad
Reference
1 ° → grad
1.1111111111 grad
Reference
1 ° → '
59.99999988 '
Reference
1 ° → "
3599.999712 "
Reference
1 ° → gon
1.1111111111 gon
Reference
1 ° → sign
0.0333333333 sign
Reference
1 ° → mil
17.7777777778 mil
Real-World Use Cases
Angle conversion is used in mathematics and geometry (solving trigonometric problems, converting between degrees and radians), surveying and civil engineering (bearing measurements, slope calculations, property boundary angles), astronomy and navigation (measuring celestial positions in arcminutes and arcseconds, GPS coordinates, sextant readings), military and defense (artillery targeting using mils, radar azimuth), architecture and construction (roof pitches, stair angles, structural load angles), physics and engineering (rotational motion, optics, wave phase angles), shooting sports and hunting (adjusting rifle scopes in mil-radians and MOA), and geographic information systems (map projection angles and bearings).
Frequently asked questions
Quick answers to common conversion questions
What is a degree?+
A degree (°) is a unit of angle where one full rotation equals 360 degrees. It is the most commonly used unit for measuring angles in everyday contexts.
What is a radian?+
A radian (rad) is the SI unit of angle, defined as the angle formed when the arc length equals the radius. One full rotation equals 2π radians (≈6.283 rad).
How do I convert degrees to radians?+
Multiply degrees by π/180 (≈0.0174533) to get radians. For example, 180° = π radians.
How do I convert radians to degrees?+
Multiply radians by 180/π (≈57.2958) to get degrees. For example, π/2 radians = 90°.
What is a gradian?+
A gradian (grad) divides a full circle into 400 units, so each right angle equals 100 gradians. It is used primarily in surveying and civil engineering.
What is the difference between a minute and a second of arc?+
A minute of arc (') is 1/60 of a degree. A second of arc (") is 1/60 of a minute or 1/3600 of a degree. They are used in astronomy and navigation.
What is a mil used for?+
A mil is a military angle unit used for artillery aiming and targeting. NATO uses 6400 mils per circle, where one mil ≈ 0.05625°.
How many degrees are in a revolution?+
One revolution (or full turn) equals exactly 360 degrees. A quadrant is 90° (one-fourth of a revolution), and a sextant is 60° (one-sixth of a revolution).
What is a right angle?+
A right angle is an angle of exactly 90 degrees, formed by two perpendicular lines. It is one of the fundamental concepts in geometry.
Can I convert between all angle units?+
Yes, all angle units are directly convertible using fixed mathematical relationships based on the full circle (360°).











