720 Degrees to Radians

720° = 4π rad

720 degrees equals 4π rad, which is about 12.566371 radians.

Step by step

Multiply by π/180: 720 × π/180.
Simplify the fraction: 4π rad.
As a decimal (π ≈ 3.14159): 12.566371 rad.

Details

Radians (π form): 4π rad
Radians (decimal): 12.566371
Gradians: 800
Turns: 2
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
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)
345°	23π/12 rad (6.0214)
360°	2π rad (6.2832)
720°	4π rad (12.5664)

Related conversions

Frequently asked questions

What is 720 degrees in radians?

4π rad ≈ 12.566371 rad.

How do you convert 720° to radians?

Multiply 720 by π/180.

What are sin, cos and tan of 720°?

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

How many degrees is 12.5664 radians?

About 720°.