Degrees to Radians conversion calculator
Simplify the process of converting degrees to radians with our efficient Degrees to Radians Calculator. This tool allows you to effortlessly convert any angle expressed in degrees into its equivalent in radians. Simply input the degree value, and our calculator will instantly generate the corresponding radian value.
What is Degrees to Radians conversion calculator
To convert degrees to radians, you can use the following formula:
Radians = Degrees * (π / 180)
Here's an example of how to convert degrees to radians using this formula:
Let's say you have an angle of 45 degrees that you want to convert to radians. Using the formula, you would do the following calculation:
Radians = 45 * (π / 180)
To make it simpler, you can use an approximate value for π, such as 3.14159. The calculation would then be:
Radians ≈ 45 * (3.14159 / 180)
Radians ≈ 0.7854
So, 45 degrees is approximately equal to 0.7854 radians.
If you need to perform multiple conversions or want a convenient tool for calculating degrees to radians conversion, you can use online calculators available on various websites. Just search for "degrees to radians converter" to find one that suits your needs.
How to convert degrees to radians
Pi radians are equal to 180 degrees:
π rad = 180°
One degree is equal 0.01745329252 radians:
1° = π/180° = 0.005555556π = 0.01745329252 rad
The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:
α(radians) = α(degrees) × π / 180°
or
radians = degrees × π / 180°
Example
Convert 30 degrees angle to radians:
α(radians) = α(degrees) × π / 180° = 30° × 3.14159 / 180° = 0.5236 rad
Degrees to radians conversion table
| Degrees (°) | Radians (rad) | Radians (rad) |
|---|---|---|
| 0° | 0 rad | 0 rad |
| 30° | π/6 rad | 0.5235987756 rad |
| 45° | π/4 rad | 0.7853981634 rad |
| 60° | π/3 rad | 1.0471975512 rad |
| 90° | π/2 rad | 1.5707963268 rad |
| 120° | 2π/3 rad | 2.0943951024 rad |
| 135° | 3π/4 rad | 2.3561944902 rad |
| 150° | 5π/6 rad | 2.6179938780 rad |
| 180° | π rad | 3.1415926536 rad |
| 270° | 3π/2 rad | 4.7123889804 rad |
| 360° | 2π rad | 6.2831853072 rad |
