Angle Converter

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   What’s great about our Angle Converter

   Fast, accurate conversion of angles that you can see and drag

   • Free
   • Converts degrees, radians, gradians and arcminutes instantly
   • Synced sliders and type-in boxes
   • No sign-up
   • No ads
   • Works offline once loaded
   • No daily limit
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   Choose which units to show

   Use the unit names at the top to show or hide each card. Drag a name or a card’s title to rearrange them; your order is remembered in this browser, and Restore puts the original order back.

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   Drag a slider or type a value

   Move any slider, or type a number into its “Type Value” box, and every visible unit updates instantly.

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   Widen the range

   Turn on “Multiple Turns” to widen every slider’s range to cover more extreme values.

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What is Angle?

An angle measures a turn or the opening between two lines. A full circle is 360 degrees, which is also 2π radians or 400 gradians. Maths uses radians, everyday life and navigation use degrees, and maps use arcminutes.

About Degrees (°)

A degree is 1/360 of a full circle. It is the most familiar unit of angle, used in geometry, navigation and everyday life.

• 90° = a right angle, 180° = a straight line, 360° = a full turn
• 1° = 60 arcminutes
• The 360-degree circle goes back to ancient Babylonian astronomy

About Radians (rad)

The radian is the SI unit of angle: the angle at the center of a circle that cuts off an arc equal in length to its radius. A full circle is 2π radians.

• 1 rad is about 57.2958°, and π rad = 180°
• Standard in mathematics, physics and programming
• Most programming languages use radians for sin, cos and tan

About Gradians (grad)

A gradian (or gon) divides a right angle into 100 equal parts, so a full circle is 400 gradians. It was introduced in France alongside the metric system.

• 100 grad = 90°, and 1 grad = 0.9°
• Used mainly in surveying in parts of Europe
• Shown as GRAD on some scientific calculators

About Arcminutes (′)

An arcminute is 1/60 of a degree. It is used for very small angles in astronomy, navigation and optics.

• 60′ = 1°, and 1′ = 60 arcseconds
• One minute of latitude is about one nautical mile
• The Moon appears about 31 arcminutes wide in the sky