Degrees to Radians Calculator
Created By : Jitender Kumar
Reviewed By : Phani Ponnapalli
Last Updated : May 22, 2023
Degree to Radians Calculator is a free online tool that converts the degrees to radians for the given input value. All you have to do is simply enter the degree value for which you want to determine the radians value and hit the calculate button.
Examples:
Degrees to Radians Calculator: If you are wondering how to calculate the radians from degrees then make use of this online tool i.e. Degrees to Radians Calculator. This handy tool will make your computations quick and simple. Furthermore, we have included the information on Degrees to Radians Conversion, What is the Formula to Convert Degrees to Radians, Procedure to Convert Degrees to Radians, and Solved Examples on Degrees to Radians Conversion.
What is Degrees to Radians Conversion?
The two units of measurement for angles are degrees and radians. We can convert between degrees and radians according to our convenience. This can be done using basic calculations. Before talking about Converting Degrees to Radians let us discuss the basic definition of Degrees, Radians.
Degree: It is a unit for measuring angle and is also known as the degree of arc. The symbol used to denote degrees is (°). For a complete rotation, it will be 360°. We can use a protractor to measure degrees.
Radians: Radian is also another unit used to measure the angle. Radian is the angle that is formed at the center of a circle by an arc and its radius is r. One complete counterclockwise rotation is equal to 2π Radians.
Degree to Radians Formula
You can use this generalized formula to convert degrees to radians easily. To convert degrees to radians multiply the values of the degree with π / 180. The formula for Degrees to Radians Conversion is given by
Radians = Degrees x π / 180
How to Convert Degrees to Radians?
Follow the simple steps over here to convert degrees to radians easily. They are along the lines
- First and foremost step is to identify the given degree value.
- Then to convert the angle in degrees to radians multiply the value of the degree with π / 180
- Perform the simple math calculations and express the answer in radians.
Worked Out Examples on Degree to Radian Conversion
Example 1:
Convert 60° to Radians?
Solution:
Given Degree = 60°
The formula to convert Degrees to Radians is given by Radian = Degree x π / 180
= 60° x π / 180
= π/3
Therefore, 60° to Radians is π/3.
Example 2:
Convert 135° to Radians.
Solution:
Given Degree = 135°
We know the formula to convert degrees to radians is Radian = Degree x π / 180
= 135° x π / 180
= 3π/4
Therefore, 135° to Radians is 3π/4
Get similar concepts like Radians to Degree Conversions, Complementary Angles, Supplementary Angles and many more on LCMGCF.Com a trusted portal for all your needs.
Degrees to Radian Conversion Table
The following table will give you the corresponding radian value for the degree values. Get the radian values for degrees 0° - 360°. This table will make your calculations quick and easier.
| Degree | 0° | 30° | 45° | 60° | 90° | 120° | 135° | 150° | 180° | 270° | 360° |
| Radian | 0 | π/6 | π/4 | π/3 | π/2 | 2π/3 | 3π/4 | 5π/6 | π | 3π/2 | 2π |
FAQs on Degrees to Radians Converter
1. What is the formula to convert Degrees to Radians?
The formula to convert Degrees to Radians is Radian = Degrees x π / 180.
2. What is 90° in Radians?
90° in Radians is π/2.
3. How do you convert Degrees to Radians without a Calculator?
You can convert Degrees to Radians by simply multiplying degrees with π / 180.