Degree to Radian Converter
Convert degree to radian instantly.
Standard angle units
radian 1.745
gradian 111.111
arcminute 6000
arcsecond 360000
turn 0.2778
Fun comparisons
clock hour marks 🕐~ 3.33
pizza slices (1/8) 🍕~ 2.22
right angles 📐~ 1.11
compass quarter turns 🧭~ 1.11
How to convert degree to radian
Enter your angle in degree and get the equivalent in radian instantly. Key reference points: a full circle is 360 degrees (2π radians / 400 gradians / 1 turn), and a right angle is 90 degrees (π/2 radians).
Degrees are the everyday angle unit used in navigation and construction, while radians are the SI standard used in mathematics and physics.
Need the opposite direction? Convert radian to degree just as easily, or explore all our angle conversions.
Common degree to radian conversions
| Degree (deg) | Radian (rad) |
|---|---|
| 1 | 0.0174533 |
| 5 | 0.0872665 |
| 10 | 0.174533 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.74533 |
| 500 | 8.72665 |
| 1000 | 17.4533 |
Frequently asked questions
1 degree equals 0.0174533 radian.
Multiply by 0.0174533. For example, 5 deg = 0.0872665 rad.
45 degrees equals π/4 radians (approximately 0.7854 radians).
1 radian equals 57.2958 degree.
100 degree equals 1.74533 radian.