345 Degrees to Radians

345° = 23π/12 rad

345 degrees equals 23π/12 rad, which is about 6.021386 radians.

Step by step

Multiply by π/180: 345 × π/180.
Simplify the fraction: 23π/12 rad.
As a decimal (π ≈ 3.14159): 6.021386 rad.

Details

Radians (π form): 23π/12 rad
Radians (decimal): 6.021386
Gradians: 383.3333
Turns: 0.95833
sin / cos / tan: -0.258819 / 0.965926 / -0.267949
Position: Quadrant 4

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
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)
345°	23π/12 rad (6.0214)
360°	2π rad (6.2832)

Related conversions

Frequently asked questions

What is 345 degrees in radians?

23π/12 rad ≈ 6.021386 rad.

How do you convert 345° to radians?

Multiply 345 by π/180.

What are sin, cos and tan of 345°?

-0.258819 / 0.965926 / -0.267949 (sin / cos / tan).

How many degrees is 6.0214 radians?

About 345°.