Radians to Degrees

Convert rad to deg instantly — with a table, common angle values, and a live calculator.

1 rad equals 57.3 deg.

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Result (deg)57.3 deg

rad to deg table

raddeg
1 rad57.3 deg
2 rad114.59 deg
3 rad171.89 deg
5 rad286.48 deg
10 rad572.96 deg
15 rad859.44 deg
20 rad1145.92 deg
30 rad1718.87 deg
45 rad2578.31 deg
60 rad3437.75 deg
90 rad5156.62 deg
120 rad6875.49 deg
135 rad7734.93 deg
150 rad8594.37 deg
180 rad10313.24 deg
270 rad15469.86 deg
360 rad20626.48 deg
400 rad22918.31 deg
500 rad28647.89 deg
720 rad41252.96 deg
1000 rad57295.78 deg
3600 rad206264.81 deg

deg to rad (reverse)

degrad
1 deg0.0175 rad
2 deg0.0349 rad
3 deg0.0524 rad
5 deg0.0873 rad
10 deg0.175 rad
15 deg0.262 rad
20 deg0.349 rad
30 deg0.524 rad
45 deg0.785 rad
60 deg1.05 rad
90 deg1.57 rad
120 deg2.09 rad
135 deg2.36 rad
150 deg2.62 rad
180 deg3.14 rad
270 deg4.71 rad
360 deg6.28 rad
400 deg6.98 rad
500 deg8.73 rad
720 deg12.57 rad
1000 deg17.45 rad
3600 deg62.83 rad

Common angle values

raddeg
15 rad859.44 deg
30 rad1718.87 deg
45 rad2578.31 deg
60 rad3437.75 deg
90 rad5156.62 deg
120 rad6875.49 deg
135 rad7734.93 deg
180 rad10313.24 deg
270 rad15469.86 deg
360 rad20626.48 deg
720 rad41252.96 deg
1000 rad57295.78 deg

How it scales

14322865429757300255075100rad

1 turn (360°) in other units

360deg6.28rad400grad

The ratio at a glance

1 rad57.3 deg

Degrees, radians, and gradians — the key angle units

The degree (°) divides the full circle into 360 parts and is the everyday unit in geometry and navigation. The radian (rad) is the standard mathematical unit: 180° = π rad, so 1 rad ≈ 57.2958°. The gradian (gon) divides the circle into 400 parts, so one full turn is 400 grad = 360° and 1 grad = 0.9° — common in surveying because a right angle is exactly 100 grad.

For very small angles the degree is subdivided further: 1° = 60 arcminutes (′) and 1 arcminute = 60 arcseconds (″), so 1° = 3,600 arcseconds — used in astronomy and navigation. A turn describes one full circle (360°). For more unit pairs, use our angle conversion hub.

Related conversions

Where angle conversions are used

Angle conversions appear in maths, navigation, and engineering — degrees, radians, and gradians measure the same turn differently.

  • A full circle is 360 degrees, 2π radians (about 6.283), or 400 gradians.
  • Radians are the natural unit in calculus and physics because they simplify the formulas.
  • 180 degrees equals exactly π radians — the half-turn that flips a direction.

Frequently asked questions

How many deg are in 1 rad?

1 rad equals 57.3 deg.

How many deg are in 2 rad?

2 rad equal 114.59 deg.

How do I convert rad to deg?

Multiply the angle in rad by 57.3 to get deg.

How are degrees and radians related?

A full circle spans 2π radians or 360°, so 180° = π rad. From this: 1 rad = 180/π ≈ 57.2958° and 1° = π/180 ≈ 0.0175 rad. The factor π appears because the radian is defined from the circle's arc length.

What are these angle units used for?

Degrees (°) are the everyday unit in geometry and navigation. Radians (rad) are the standard mathematical unit, especially in trigonometry and physics. Gradians (gon) are used in surveying, while arcminutes and arcseconds express very small angles in astronomy and navigation. A turn describes one full circle (360°).

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