270 Degrees to Radians

270° = 3π/2 rad

270 degrees equals 3π/2 rad, which is about 4.712389 radians.

Step by step

Multiply by π/180: 270 × π/180.
Simplify the fraction: 3π/2 rad.
As a decimal (π ≈ 3.14159): 4.712389 rad.

Details

Radians (π form): 3π/2 rad
Radians (decimal): 4.712389
Gradians: 300
Turns: 0.75
sin / cos / tan: -1 / 0 / not defined
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
210°	7π/6 rad (3.6652)
225°	5π/4 rad (3.927)
240°	4π/3 rad (4.1888)
255°	17π/12 rad (4.4506)
270°	3π/2 rad (4.7124)
285°	19π/12 rad (4.9742)
300°	5π/3 rad (5.236)
315°	7π/4 rad (5.4978)
330°	11π/6 rad (5.7596)

Related conversions

Frequently asked questions

What is 270 degrees in radians?

3π/2 rad ≈ 4.712389 rad.

How do you convert 270° to radians?

Multiply 270 by π/180.

What are sin, cos and tan of 270°?

-1 / 0 / not defined (sin / cos / tan).

How many degrees is 4.7124 radians?

About 270°.