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Degrees to Radians conversion calculator FullScreen

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.

Enter Degrees: °
 
Radians result:  
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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 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

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