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#Trigonometry

RADIANS

Excel Functions

Converts degrees into radians

Syntax

EXCEL
=RADIANS(angle)

Arguments

Parameter Description
angle Angle in degrees to convert to radians.

Return Value

Radians

Details

The RADIANS function takes an angle in degrees and converts it to radians. Radians measure angles using the radius of a circle. For example, to convert a 45 degree angle to radians the formula is: One radian is equal to the amount of rotation required to travel one radius along the circumference of the circle, as seen in the image above. A full-rotation or 360° in radians is equal to the value of 2π. A half-rotation or 180° in radians is equal to the value of geometric constant π (pi).

Examples

Example 1

The RADIANS function takes an angle in degrees and converts it to radians. Radians measure angles using the radius of a circle. For example, to conver

EXCEL
=RADIANS(45) // Returns 0.785 or π/4
Explanation

One radian is equal to the amount of rotation required to travel one radius along the circumference of the circle, as seen in the image above. A full-

EXCEL
= RADIANS(360) =2*PI() // A full rotation is 6.283...
Explanation
EXCEL
= RADIANS(180) =PI() // A half rotation is 3.141...

See Also

DEGREES PI