How to use the DEGREES() function in Excel

Its converts an angle from radians to degrees.

Syntax
DEGREES(angle)

Argument

• angle (required) – The angle in radians to be converted

Background
Angular measurements use two primary units:

1. Degrees (°):
   • Full circle = 360°
   • 1° = 60 arcminutes (‘)
   • 1′ = 60 arcseconds (« )
2. Radians:
   • Full circle = 2π radians
   • π radians = 180°
   • 1 radian ≈ 57.2958°

Key Features:

• Essential for interpreting results from Excel’s trigonometric functions (ACOS, ASIN, ATAN, etc.)
• Conversion formula:

degrees=radians×180π

• Inverse function: RADIANS() converts degrees to radians

Examples:

Applications:

• Converting mathematical/engineering calculations to more intuitive degree measurements
• Preparing data for visual presentations/graphs
• Geographic coordinate transformations
• CAD/CAM software inputs