30 Degrees to Radians

30° = π/6 rad

30 degrees equals π/6 rad, which is about 0.523599 radians.

Step by step

Multiply by π/180: 30 × π/180.
Simplify the fraction: π/6 rad.
As a decimal (π ≈ 3.14159): 0.523599 rad.

Details

Radians (π form): π/6 rad
Radians (decimal): 0.523599
Gradians: 33.3333
Turns: 0.08333
sin / cos / tan: 0.5 / 0.866025 / 0.57735
Position: Quadrant 1

How it works

A full turn is 360 degrees or 2π radians, so 180° equals π radians. To convert degrees to radians, multiply by π/180 and simplify the fraction; to convert back, multiply by 180/π. Radians are the standard angle unit in mathematics, physics and programming languages, where trigonometric functions expect their input in radians.

Nearby values

Degrees	Radians
0°	0 rad (0)
15°	π/12 rad (0.2618)
30°	π/6 rad (0.5236)
45°	π/4 rad (0.7854)
60°	π/3 rad (1.0472)
75°	5π/12 rad (1.309)
90°	π/2 rad (1.5708)
105°	7π/12 rad (1.8326)
120°	2π/3 rad (2.0944)

Related conversions

Frequently asked questions

What is 30 degrees in radians?

π/6 rad ≈ 0.523599 rad.

How do you convert 30° to radians?

Multiply 30 by π/180.

What are sin, cos and tan of 30°?

0.5 / 0.866025 / 0.57735 (sin / cos / tan).

How many degrees is 0.5236 radians?

About 30°.