Convert degree (deg) to radian (rad).
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Radian to Degree Converter (rad to deg)
Convert radian (rad) to degree (deg).Unit Converter · Angle
Quick answer
1 radian (rad) is approximately equal to 57.29578 degrees (deg). 1 degree (deg) is approximately equal to 0.01745329 radians (rad).
To convert rad to deg, multiply the value in radians by 57.2957795131. For example, 10 rad = 572.95779513 deg, and 100 rad = 5,729.57795131 deg.
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Quick reference — radian to degree
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How to convert radians to degrees
How many degrees are in a radian? 1 radian is about 57.29578 degrees. This free rad to deg converter and radian to degree calculator gives the answer instantly for any value.
To convert radian (rad) to degree (deg), multiply the value in radians by 57.2957795131.
deg = rad × 57.2957795131
- 1
Take the value in radians
For example, 25 rad.
- 2
Multiply by 57.2957795131
25 × 57.2957795131.
- 3
Read the answer in degrees
25 rad = 1,432.39448783 deg.
Radian to Degree conversion table
Common values from 1 to 1,000 radians converted to degrees.
| Radian (rad) | Degree (deg) |
|---|---|
| 1 rad | 57.29577951 deg |
| 2 rad | 114.59155903 deg |
| 3 rad | 171.88733854 deg |
| 4 rad | 229.18311805 deg |
| 5 rad | 286.47889757 deg |
| 6 rad | 343.77467708 deg |
| 7 rad | 401.07045659 deg |
| 8 rad | 458.36623611 deg |
| 9 rad | 515.66201562 deg |
| 10 rad | 572.95779513 deg |
| 15 rad | 859.4366927 deg |
| 20 rad | 1,145.91559026 deg |
| 25 rad | 1,432.39448783 deg |
| Radian (rad) | Degree (deg) |
|---|---|
| 30 rad | 1,718.87338539 deg |
| 40 rad | 2,291.83118052 deg |
| 50 rad | 2,864.78897565 deg |
| 60 rad | 3,437.74677078 deg |
| 70 rad | 4,010.70456592 deg |
| 75 rad | 4,297.18346348 deg |
| 80 rad | 4,583.66236105 deg |
| 90 rad | 5,156.62015618 deg |
| 100 rad | 5,729.57795131 deg |
| 250 rad | 14,323.9448783 deg |
| 500 rad | 28,647.8897565 deg |
| 1,000 rad | 57,295.7795131 deg |
About radians and degrees
Radian (rad)
A radian (rad) is the angle at the center of a circle that cuts off an arc as long as the radius. A full turn is 2π radians, so 180° = π rad.
Degree (deg)
A degree (°) is 1/360 of a full turn. A right angle is 90°.
rad to deg: common questions
- How many degrees are in 1 radian?
- 1 radian (rad) is approximately equal to 57.29578 degrees (deg). In short: 1 rad ≈ 57.29578 deg.
- How do I convert radians to degrees?
- To convert rad to deg, multiply the value in radians by 57.2957795131. For example, 5 rad = 286.47889757 deg.
- How do I convert degrees to radians?
- To convert deg to rad, divide the value in degrees by 57.2957795131. Or open the Degree to Radian converter, which does it for you.
- What is 10 rad in deg, and what is 100 rad?
- 10 rad = 572.95779513 deg, and 100 rad = 5,729.57795131 deg. The table above lists more values from 1 to 1,000.
- Is this rad to deg converter accurate?
- Yes. It uses the exact conversion factor and shows results to as many as 8 decimal places, so you can rely on it for study, work and everyday measuring.
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