30 Degrees to Radians

30° ≈ 0.5236 rad

= π/6 rad

Calculation: rad = 30° × 0.0174533 ≈ 0.5236 rad

Degree to Radian Converter

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How wide is 30°?

30 degrees is comparable to the angle of a pizza slice cut from a whole pie.

What does 30° look like?

Illustration of a pizza with a slice cut
30 degrees is comparable to the angle of a pizza slice cut from a whole pie.

Did you know? Standard escalator angle is 30°.

Escalators worldwide are built at 30° inclination (35° maximum for shorter rises).

How to Convert Degree to Radian

1 degree = 0.0174533 radians exact

Radian = Degree × 0.0174533

Example: 30° × 0.0174533 = 0.5236 rad

Reverse Conversion

To convert radians back to degrees:

  • Remember, 1 radian equals 57.2958 degrees.
  • To convert 0.5236 rad to°, multiply 0.5236 x 57.2958, resulting in 30°.

exact This conversion factor is exact by international definition.

30 ° is also equal to:

  • 33.333 gradian
  • 112 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 30 degrees in radians?

30 degrees equals 0.5236 radians. This is calculated by multiplying 30 by the conversion factor 0.0174533.

What does 30 degrees look like in radians?

30 degrees (0.5236 radians) is a common trigonometric angle found in equilateral triangles and clock faces.

How do you calculate 30 degrees to radians?

Multiply 30 by the conversion factor 0.0174533. The calculation is 30 × 0.0174533 = 0.5236 radians. This factor is defined by international measurement standards.

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30 degrees = 0.523599 radians
30 degrees = 0.523599 radians — conversion chart

Nearby Conversions

15 degrees0.2618 radians 45 degrees0.7854 radians 60 degrees1.047 radians 75 degrees1.309 radians 90 degrees1.571 radians 105 degrees1.833 radians 120 degrees2.094 radians 135 degrees2.356 radians 150 degrees2.618 radians 165 degrees2.88 radians 180 degrees3.142 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.