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Angle Converter

Convert Degrees (°), Radians (rad), Gradians (grad), Arcminutes, and Turns.

Angle & Arc Converter

Convert between Degrees, Radians, Gradians, Arcminutes, and Arcseconds.

Source Unit
Target Unit
0.01745329
💡 1 ° = 0.017453 rad
Exact Derivation: 1 ° × (0.017453) = 0.017453 rad
100% Client-Side Pure Precision

Instant Multi-Unit Comparison Table

Simultaneous value of 1 DEG across all units in Angle & Arc.

Degree°
1
Radianrad
0.017453
Gradian (Gon)grad
1.111111
Milliradianmrad
17.453293
Arcminute'
60
Arcsecond"
3,600
Full Turn (Revolution)rev
0.002778

About Angle Converter

Trigonometry and navigation angle converter. Convert between Degrees, Radians, Gradians, Milliradians, Arcminutes, Arcseconds, and Full Turns.

Key Capabilities & Features

  • Covers Degrees, Radians (π rad = 180°), Gradians (400 grad = 360°), and Milliradians
  • Astronomical and ballistic arcminute (') and arcsecond (") conversions
  • Instant full comparison table for all angular units
  • Formula and derivation steps preview

How to Use Angle Converter

1

Enter Angle

Input the angular value.

2

Select Angle Units

Choose between Degrees, Radians, Gradians, or Turns.

3

Read Derivation

Review exact mathematical π ratio and converted result.

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All geometric calculations execute locally in browser with zero telemetry.

Frequently Asked Questions

How many radians are in 180 degrees?

180 degrees is exactly π radians (approx. 3.14159265 rad).

What is a Gradian?

A Gradian (gon) is a metric unit of angle where a right angle is exactly 100 gradians and a full circle is 400 gradians.