135 Degrees to Radians

135° = 3π/4 rad

135 degrees equals 3π/4 rad, which is about 2.356194 radians.

Step by step

Multiply by π/180: 135 × π/180.
Simplify the fraction: 3π/4 rad.
As a decimal (π ≈ 3.14159): 2.356194 rad.

Details

Radians (π form): 3π/4 rad
Radians (decimal): 2.356194
Gradians: 150
Turns: 0.375
sin / cos / tan: 0.707107 / -0.707107 / -1
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
75°	5π/12 rad (1.309)
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)

Related conversions

Frequently asked questions

What is 135 degrees in radians?

3π/4 rad ≈ 2.356194 rad.

How do you convert 135° to radians?

Multiply 135 by π/180.

What are sin, cos and tan of 135°?

0.707107 / -0.707107 / -1 (sin / cos / tan).

How many degrees is 2.3562 radians?

About 135°.