180 Degrees to Radians

180° = π rad

180 degrees equals π rad, which is about 3.141593 radians.

Step by step

Multiply by π/180: 180 × π/180.
Simplify the fraction: π rad.
As a decimal (π ≈ 3.14159): 3.141593 rad.

Details

Radians (π form): π rad
Radians (decimal): 3.141593
Gradians: 200
Turns: 0.5
sin / cos / tan: 0 / -1 / 0
Position: On an axis

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
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)
225°	5π/4 rad (3.927)
240°	4π/3 rad (4.1888)

Related conversions

Frequently asked questions

What is 180 degrees in radians?

π rad ≈ 3.141593 rad.

How do you convert 180° to radians?

Multiply 180 by π/180.

What are sin, cos and tan of 180°?

0 / -1 / 0 (sin / cos / tan).

How many degrees is 3.1416 radians?

About 180°.