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Math function

DEGREES

Converts radians to degrees.

Rarely usedDifficulty 1000 · CapableUsage rank #239 of 520
Practice · 2 questions →

When to use it

Converts radians to degrees. Trig functions return radians, so this is how you read the answer.

The shape of it

Syntax
=DEGREES(angle)

Worked examples

  • Half a turn

    =DEGREES(PI()) 180

    Pi radians is half a turn.

  • One radian

    =DEGREES(1) 57.29577951

    One radian.

  • Angle from coordinates

    =DEGREES(ATAN2(1,1)) 45

    The angle of the line from the origin to (1,1).

Worth knowing

  • Bearings from coordinates: =MOD(DEGREES(ATAN2(dy,dx)),360).
  • RADIANS goes the other way.
  • DEGREES(x) = x*180/PI().

Where it goes wrong

  • Feeding degrees into SIN without converting gives nonsense with no error.
  • Results can carry tiny floating-point residues; ROUND for display.

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