Degrees to Radians Converter

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Choose the conversion direction. All results update instantly.
The angle in degrees you want to convert. Can be any value, including negatives and values above 360.
deg
Radians (decimal)
0.785398rad

The angle in radians as a decimal

Exact fractionπ/4
Degrees45deg
Sine0.707107
Cosine0.707107
Tangent1
0.785398 rad
Q1 (0-pi/2)<1.5708Q2 (pi/2-pi)1.5708-3.1416Q3 (pi-3pi/2)3.1416-4.7124Q4 (3pi/2-2pi)4.7124+

45 degrees = π/4 (0.785398 rad)

  • The exact radian value is π/4, a clean pi-fraction, which is useful in proofs and exact calculations.
  • This angle is in the first quadrant (0 to 90 degrees).
  • sin = 0.7071, cos = 0.7071, tan = 1.
  • One full circle is 360 degrees = 2pi radians. A half turn is pi radians (approximately 3.14159).

Next stepUse the reference table below for common angles used in trigonometry, or switch the direction selector above to convert radians back to degrees.

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