RADIANS

Convert an angle in degrees into radians, the unit SIN, COS and TAN expect.

Syntax

RADIANS(angle)
Argument Required Description
angle Required An angle in degrees.

Examples

Every example below was executed against VisiGrid engine 0.51.0 — not transcribed from another vendor's documentation. Reproduce any of them with vgrid calc.

Formula Result Notes
=RADIANS(180) 3.14 Half a turn is π radians.
=SIN(RADIANS(30)) 0.50 Convert on the way in, and SIN gets the angle it expects.
=RADIANS(360)=2*PI() TRUE

Why the conversion is needed

SIN, COS and TAN measure angles in radians, where a full turn is 2π rather than 360. Handing them degrees is not an error — it is a different angle — so the mistake produces a confident wrong number. Wrap any angle a person typed in degrees:

=COS(RADIANS(60))  → 0.50

It is exactly angle*PI()/180. The reverse conversion is DEGREES.

Excel compatibility

Matches Excel.

Related functions

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