360 Degrees to Radians

360° ≈ 6.2832 rad

= 2π rad

Calculation: rad = 360° × 0.0174533 ≈ 6.2832 rad

Degree to Radian Converter

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How wide is 360°?

360 degrees is comparable to a full rotation or complete circle.

What does 360° look like?

Illustration of a circular arrow showing full rotation
360 degrees is comparable to a full rotation or complete circle.

Did you know? Full rotation is 360°.

The ancient Babylonians chose 360° for a full circle because 360 has many divisors (24 of them).

How to Convert Degree to Radian

1 degree = 0.0174533 radians exact

Radian = Degree × 0.0174533

Example: 360° × 0.0174533 = 6.2832 rad

Reverse Conversion

To convert radians back to degrees:

  • Remember, 1 radian equals 57.2958 degrees.
  • To convert 6.2832 rad to°, multiply 6.2832 x 57.2958, resulting in 360°.

exact This conversion factor is exact by international definition.

360 ° is also equal to:

  • 400 gradian
  • 1 turn
About these units

Degree: The degree (°) is a non-SI unit of plane angle defined as 1/360 of a full rotation.It is accepted for use with the SI due to its long-standing practical importance in navigation, surveying, engineeri...

Radian: The radian (rad) is the SI derived unit of plane angle. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius.Although mathematically dimensionless, th...

Frequently Asked Questions

How much is 360 degrees in radians?

360 degrees equals 6.2832 radians. This is calculated by multiplying 360 by the conversion factor 0.0174533.

What does 360 degrees look like in radians?

360 degrees (6.2832 radians) is a full rotation (360°), returning to the starting position — one complete turn.

How do you calculate 360 degrees to radians?

Multiply 360 by the conversion factor 0.0174533. The calculation is 360 × 0.0174533 = 6.2832 radians. This factor is defined by international measurement standards.

Share This Calculation

360 degrees = 6.28319 radians
360 degrees = 6.28319 radians — conversion chart

Nearby Conversions

60 degrees1.047 radians 90 degrees1.571 radians 120 degrees2.094 radians 150 degrees2.618 radians 180 degrees3.142 radians 210 degrees3.665 radians 240 degrees4.189 radians 270 degrees4.712 radians 300 degrees5.236 radians 330 degrees5.76 radians 390 degrees6.807 radians 420 degrees7.33 radians 450 degrees7.854 radians 480 degrees8.378 radians 510 degrees8.901 radians 540 degrees9.425 radians 570 degrees9.948 radians 600 degrees10.47 radians 630 degrees11 radians 660 degrees11.52 radians

For general conversions between degrees and radians, see the degrees to radians converter.

Also convert Degrees to:

Conversion factors verified against BIPM, ISO 80000-3 1 turn = 2π rad = 360° (exact, ISO 80000-3). Last reviewed: March 2026
Adilson Fernandes By Adilson Fernandes
Tiago Fernandes Reviewed by Tiago Fernandes

All unit conversions on CoolConversion use conversion factors defined or documented by internationally recognised standards bodies (such as ISO and NIST), including both SI and non-SI units.