150 Degrees to Radians

150° = 5π/6 rad

150 degrees equals 5π/6 rad, which is about 2.617994 radians.

Step by step

Multiply by π/180: 150 × π/180.
Simplify the fraction: 5π/6 rad.
As a decimal (π ≈ 3.14159): 2.617994 rad.

Details

Radians (π form): 5π/6 rad
Radians (decimal): 2.617994
Gradians: 166.6667
Turns: 0.41667
sin / cos / tan: 0.5 / -0.866025 / -0.57735
Position: Quadrant 2

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
90°	π/2 rad (1.5708)
105°	7π/12 rad (1.8326)
120°	2π/3 rad (2.0944)
135°	3π/4 rad (2.3562)
150°	5π/6 rad (2.618)
165°	11π/12 rad (2.8798)
180°	π rad (3.1416)
195°	13π/12 rad (3.4034)
210°	7π/6 rad (3.6652)

Related conversions

Frequently asked questions

What is 150 degrees in radians?

5π/6 rad ≈ 2.617994 rad.

How do you convert 150° to radians?

Multiply 150 by π/180.

What are sin, cos and tan of 150°?

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

How many degrees is 2.618 radians?

About 150°.