225 Degrees to Radians

225° = 5π/4 rad

225 degrees equals 5π/4 rad, which is about 3.926991 radians.

Step by step

Multiply by π/180: 225 × π/180.
Simplify the fraction: 5π/4 rad.
As a decimal (π ≈ 3.14159): 3.926991 rad.

Details

Radians (π form): 5π/4 rad
Radians (decimal): 3.926991
Gradians: 250
Turns: 0.625
sin / cos / tan: -0.707107 / -0.707107 / 1
Position: Quadrant 3

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
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)
255°	17π/12 rad (4.4506)
270°	3π/2 rad (4.7124)
285°	19π/12 rad (4.9742)

Related conversions

Frequently asked questions

What is 225 degrees in radians?

5π/4 rad ≈ 3.926991 rad.

How do you convert 225° to radians?

Multiply 225 by π/180.

What are sin, cos and tan of 225°?

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

How many degrees is 3.927 radians?

About 225°.