How many degrees in 1 radian?
1 radian equals 57.2958 degrees
Radian To Degree Converter
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To calculate a radian value to the corresponding value in degree, just multiply the quantity in radian by 57.295779513082 (the conversion factor). Here is the formula:
Value in degrees = value in radian × 57.295779513082
Suppose you want to convert 1 radian into degrees. Using the conversion formula above, you will get:
Value in degree = 1 × 57.295779513082 = 57.2958 degrees
Definition of Radian
Radian describes the plane angle subtended by a circular arc as the length of the arc divided by the radius of the arc. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle
Definition of Degree
1 degree of arc is defined as 1/360 of a revolution. In SI units 1° is π/180 radians.
Guide to Convert Radians to Degrees
Learn how to convert radians into degrees using a simple multiplication with the conversion factor.
How to Convert Radians (rad) to Degrees (deg)
- 1 radian = 57.2958 degrees
- 1 radian × 57.2958 = 57.2958 degrees
How to Convert Degrees back to Radians
- 1 degree = 0.0174533 radians
- 57.2958 degree × 0.0174533 = 1 radians
Frequently Asked Questions
How do I convert radians to degrees?
Multiply the value in radians by 57.2958. For example, 1 radians = 57.2958 degrees.
What is the conversion factor between radians and degrees?
The conversion factor is 57.2958. This means that 1 radian equals 57.2958 degrees.
How many degrees are there in 10 radians?
There are approximately 572.958 degrees in 10 radians.
How can I quickly convert radians to degrees?
You can use the simple formula: Value in degrees = Value in radians × 57.2958.
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| Radians | = | Degrees |
|---|---|---|
| 0.1 radian | = | 5.73 degrees |
| 1/5 radian | = | 11.46 degrees |
| 0.3 radian | = | 17.19 degrees |
| 0.4 radian | = | 22.92 degrees |
| 1/2 radian | = | 28.65 degrees |
| Conversions 5 completed | ||
| 0.6 radian | = | 34.38 degrees |
| 0.7 radian | = | 40.11 degrees |
| 0.8 radian | = | 45.84 degrees |
| 0.9 radian | = | 51.57 degrees |
| 1 radian | = | 57.30 degrees |
| Conversions 10 completed | ||
| 1.1 radian | = | 63.03 degrees |
| 1 1/5 radian | = | 68.75 degrees |
| 1.3 radian | = | 74.48 degrees |
| 1.4 radian | = | 80.21 degrees |
| 1 1/2 radian | = | 85.94 degrees |
| Conversions 15 completed | ||
| 1.6 radian | = | 91.67 degrees |
| 1.7 radian | = | 97.40 degrees |
| 1.8 radian | = | 103.13 degrees |
| 1.9 radian | = | 108.86 degrees |
| 2 radians | = | 114.59 degrees |
Note: values are rounded to 2 decimal places for clarity.
Angle conversion factors chart
This calculator uses the following factors in terms o Pi:
| Unit | Conversion Factor (rad) |
|---|---|
| Degree | π/180 |
| Grad | π/200 |
| Radian | 1 |
| 1/10 circle | π/5 |
| 1/16 circle | π/8 |
| 1/2 circle | π |
| 1/4 circle | π/2 |
| 1/6 circle | π/3 |
| 1/8 circle | π/4 |
| Arc minute | π/(180*60) |
| Binary degree | π/128 |
| Binary radian | π/128 |
| Cycle | 2*π |
| Full angle | 2*π |
| Unit | Conversion Factor (rad) |
|---|---|
| Gradian [grad] | π/200 |
| Mil | π/3200 |
| Milliarc minute | π/(180*60*1000) |
| Millisecond of arc | π/(180*60*60*1000) |
| Minute | π/(180*60) |
| Octant | 2*π/8 |
| Point | π/16 |
| Quadrant | 2*π/4 |
| Right angle | π/2 |
| Second | π/(180*3600) |
| Sextant | 2*π/6 |
| Sign | 30*(π/180) |
| Straight angle | π |