Menu
Buy me a coffeePayPal
OmniTools
Omni News

Convert between angle units instantly. Our free online angle converter supports degrees, radians, gradians, and more with precise, real-time results.

Unit Categories

Currency
Time Zone
Length & Distance
Weight & Mass
Temperature
Area
Volume
Time
Speed
Pressure
Power
Energy
Force
Salary & Paycheck
Digital Storage
Frequency
Illuminance
Typography
Image Resolution
Angle
Electric Current
Fuel Consumption
Shoe Size
Clothing Size

Angle Converter

Free Angle Converter, Convert Degrees, Radians, Gradians, Arcminutes & Arcseconds

Convert angles between any units instantly with OmniConverter's free online angle converter. 1 degree equals π/180 radians, 1 radian equals approximately 57.3 degrees, and 1 right angle equals 90 degrees or π/2 radians. Supports degrees, radians, grad, arcminutes, arcseconds, and more. Whether you're a mathematician, surveyor, or student, our converter delivers precise angle conversions.

How It Works

Convert in three simple steps.

1

Enter the Angle Value

2

Select Source and Target Angle Units

3

View Your Converted Angle

Popular Conversions

Degrees to RadiansRadians to DegreesDegrees to GradGrad to DegreesDegrees to MinutesMinutes to DegreesDegrees to SecondsSeconds to DegreesRadians to GradGrad to RadiansDegrees to RevolutionsRevolutions to DegreesDegrees to QuadrantsQuadrants to DegreesDegrees to Right AnglesRight Angles to DegreesDegrees to SextantsSextants to DegreesRadians to MinutesMinutes to Radians

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).

Embed this converter on your site

Free, responsive, no sign-up required. Just paste a snippet.

Get Embed Code

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°).

Latest Blog Posts

Tips, guides, and insights about unit conversions

View all posts

Quick Answer: Angle Converter

Convert angle instantly — enter any value and get all units at once. Common angle conversions include degrees to radians (1° = π/180 rad), radians to degrees (1 rad = 57. Angle conversion is essential for engineering, mathematics, navigation, surveying, and computer graphics.

How the Angle Converter Works

Our angle converter uses precise mathematical relationships to convert between degrees, radians, gradians, arcminutes, and arcseconds.

Formula & Sources

Radian is SI supplementary. π rad = 180° exact; gradian = π/200 rad (ISO 80000-3).

Worked Example

Example: 90° = π/2 rad = 1.5708 rad = 100 grad. 45° = 0.785 rad.

Common Angle Conversions

Common angle conversions include degrees to radians (1° = π/180 rad), radians to degrees (1 rad = 57.296°), and degrees to gradians (1° = 1.111 grad).

When to Use Angle Conversion

Angle conversion is essential for engineering, mathematics, navigation, surveying, and computer graphics.

Accuracy & Common Mistakes

All factors are stored unrounded and computed in double precision. We avoid cumulative rounding by converting via a base unit. Always verify critical results with a second source for safety-critical tasks.

Frequently Asked Questions

How many degrees in a radian?

1 rad = 57.2958°. π rad = 180°.

How many radians is 90°?

90° = π/2 = 1.570796 rad.

What is a gradian?

400 grad = 360°. 1 grad = 0.9°. Used in surveying.

Popular Angle comparisons

Jump directly to a side-by-side comparison — no typing needed. Also discoverable via search.

Degree → Radian→Degree → Grad→Degree → Minute→Degree → Second→Radian → Grad→Radian → Minute→
View all comparisons

Related Converters

Length & Distance

People Also Ask