Convert radian (rad) to degree (deg).
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Degree to Radian Converter (deg to rad)
Convert degree (deg) to radian (rad).Unit Converter · Angle
Quick answer
1 degree (deg) is approximately equal to 0.01745329 radians (rad). 1 radian (rad) is approximately equal to 57.29578 degrees (deg).
To convert deg to rad, multiply the value in degrees by 0.0174532925. For example, 10 deg = 0.17453293 rad, and 100 deg = 1.74532925 rad.
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Quick reference — degree to radian
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How to convert degrees to radians
How many radians are in a degree? 1 degree is about 0.01745329 radians. This free deg to rad converter and degree to radian calculator gives the answer instantly for any value.
To convert degree (deg) to radian (rad), multiply the value in degrees by 0.0174532925.
rad = deg × 0.0174532925
- 1
Take the value in degrees
For example, 25 deg.
- 2
Multiply by 0.0174532925
25 × 0.0174532925.
- 3
Read the answer in radians
25 deg = 0.43633231 rad.
Degree to Radian conversion table
Common values from 1 to 1,000 degrees converted to radians.
| Degree (deg) | Radian (rad) |
|---|---|
| 1 deg | 0.01745329 rad |
| 2 deg | 0.03490659 rad |
| 3 deg | 0.05235988 rad |
| 4 deg | 0.06981317 rad |
| 5 deg | 0.08726646 rad |
| 6 deg | 0.10471976 rad |
| 7 deg | 0.12217305 rad |
| 8 deg | 0.13962634 rad |
| 9 deg | 0.15707963 rad |
| 10 deg | 0.17453293 rad |
| 15 deg | 0.26179939 rad |
| 20 deg | 0.34906585 rad |
| 25 deg | 0.43633231 rad |
| Degree (deg) | Radian (rad) |
|---|---|
| 30 deg | 0.52359878 rad |
| 40 deg | 0.6981317 rad |
| 50 deg | 0.87266463 rad |
| 60 deg | 1.04719755 rad |
| 70 deg | 1.22173048 rad |
| 75 deg | 1.30899694 rad |
| 80 deg | 1.3962634 rad |
| 90 deg | 1.57079633 rad |
| 100 deg | 1.74532925 rad |
| 250 deg | 4.36332313 rad |
| 500 deg | 8.72664626 rad |
| 1,000 deg | 17.45329252 rad |
About degrees and radians
Degree (deg)
A degree (°) is 1/360 of a full turn. A right angle is 90°.
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.
deg to rad: common questions
- How many radians are in 1 degree?
- 1 degree (deg) is approximately equal to 0.01745329 radians (rad). In short: 1 deg ≈ 0.01745329 rad.
- How do I convert degrees to radians?
- To convert deg to rad, multiply the value in degrees by 0.0174532925. For example, 5 deg = 0.08726646 rad.
- How do I convert radians to degrees?
- Use the Radian to Degree converter, which applies the exact reverse factor.
- What is 10 deg in rad, and what is 100 deg?
- 10 deg = 0.17453293 rad, and 100 deg = 1.74532925 rad. The table above lists more values from 1 to 1,000.
- Is this deg to rad 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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