Degrees to Radians Converter
Convert an angle between degrees and radians and see its sine, cosine and tangent.
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Radians
Radians
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Degrees
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sin
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cos
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tan
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Degrees to Radians Converter by TheCalcTools
How the Degrees to Radians Converter works
Enter the angle and choose whether it is in degrees or radians.
Degrees are converted by multiplying by π ÷ 180, and radians by multiplying by 180 ÷ π.
The trig functions are evaluated on the angle in radians.
The formula
radians = degrees × π ÷ 180degrees = radians × 180 ÷ π
Worked example
Using the default values shown in the calculator:
| Angle | 90 |
|---|---|
| Unit | Degrees |
- 90° × π ÷ 180 = 1.5708 radians.
- sin 90° = 1.0000 and cos 90° = 0.0000.
- tan 90° is undefined.
Result:
| Radians | 1.5708 |
|---|---|
| Degrees | 90.0000 |
| sin | 1.0000 |
| cos | 0.0000 |
| tan | undefined |
Frequently asked questions
Why do mathematicians use radians?
Radians make calculus formulas simple. The derivative of sin x is cos x only when x is in radians.
How many degrees is one radian?
About 57.2958°.
Sources and further reading
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.