Conversion
Angle Converter
Convert angles between degrees, radians, gradians, turns, arcminutes and arcseconds, and see degrees, minutes and seconds.
Radians
0.7854
- Degrees, minutes, seconds
- 45° 0′ 0″
- Gradians
- 50
- Turns
- 0.125
- Arcminutes
- 2,700
- Arcseconds
- 162,000
45 degrees is 45°, or 0.785398 radians.
How it's worked out
- In degrees
45 × 145°
Key conversions
1 radian = 180 ÷ π degrees · 1 gradian = 0.9° · 1 turn = 360°
Worked example
45° × π ÷ 180 = 0.7854 radians, which is 50 gradians or 1/8 of a turn.
Questions people ask
How do I convert degrees to radians?
Multiply by π ÷ 180. 45° is π/4 ≈ 0.7854 radians.
How many degrees is 1 radian?
About 57.2958°.
What are degrees, minutes and seconds?
A degree splits into 60 minutes and a minute into 60 seconds. 30.5° is 30° 30′ 0″.
About this calculator
Formula and rules last checked 25 October 2026Written and tested by the CalculatorDex teamReport a problem