Angle Converter

What is the Angle Converter?

Convert any angle unit to all others at once — °, rad, gon. Angles are measured in degrees, radians, gradians and turns depending on the field, and this converter shows them all at once.

How to use the Angle Converter

1. Enter your value, your from unit.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: degree (°), radian (rad), gradian (gon).
4. Check the chart to see how the conversion scales.

Formula and method

Worked example

With value = 1, from unit = Degree (°), the Angle Converter returns degree (°): 1 °; radian (rad): 0.0174532925199 rad; gradian (gon): 1.11111111111 gon.

When an all-in-one angle converter helps

A programmer’s JavaScript code expects angles in radians, but the design spec says to rotate an icon by 45°. Converting gives π/4, about 0.785 radians, ready for Math.sin and Math.cos.

A surveyor works with older equipment that reads in gradians. Converting a bearing to degrees lets them compare it with a modern map.

Watch out for these mix-ups

• Passing degrees to a programming function that expects radians.
• Confusing gradians (400 per circle) with degrees (360 per circle).
• Rounding π to 3.14 in precise engineering work.
• Mixing compass bearings with math-convention angles.

Tips for better results

• Multiply degrees by π/180 to get radians.
• Check which unit your software or calculator is set to.
• Keep full precision for engineering calculations.

💡 Practical tip: A full circle is 360°, 2π radians, 400 gradians or exactly one turn.

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