Degrees to Radians Conversion Formula
Degrees to Radians Conversion Calculator | Table & Chart | Online Free | Degrees to Radians Formula: Here is the very simple and easy to used formula for Degrees in Radians conversion. People often ask or search for online free conversion calculator for Degrees in Radians. Here we have developed a simple formula for Degrees in Radians Converter; but you don’t need to use this formula every time; just enter the value that you want to convert to Radians in above calculator and it will handle rest of the work. In this calculator we just added “Swap Units” feature; and now can can convert Degrees in Radians and Radians in Degrees.
To Convert Degrees into Radians, you need to multiply degree by π / 180; and the resultant number will be in Radians. You only need to put values in the above calculator and get 100% accurate results.
Degrees to Radians Formula- How to Convert Degrees to Radians ?
As we know, Pi radians = 180° so we can write- π rad = 180° and
1° = 180°/ π; 0.01745329252 and 1° = 0.01745329252; we can also write;
Radians = Degrees × π / 180°
Degrees & Radians Conversion Definition and Examples
Degree : A degree is a measurement of angle equal to 1/360th of a wheel/ circle. And, digit 360 has 24 divisors, creating it a relatively simple number to work with.
Radians : A radian is a measure of angle equal to the beginning to the end of an arc divided by the radius of the ring/ arc. π rad = 180°.
Here are few examples showing Degrees and Radians conversion using above formula:
Example – 1. Convert 30 degrees to radians?
using our formula- Radians = Degrees × π / 180°
Radians = Degrees × π / 180° = 30 × π / 180° = 0.52359
Example – 2. Convert 180 degrees to radians?
using our formula- Radians = Degrees × π / 180°
Radians = Degrees × π / 180° = 180 × π / 180° = 3.141592
Degrees in 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 |
Degrees in Radians Conversion – Related FAQ’s
People often search for – How to Convert Degrees to Radians? and what is the conversion formula for Degrees in Radians. With the help of this article and online calculator (given above), we tried to solve related problems.
Which formula converts radians to degrees? Formula used is – Radians = Degrees × π / 180°.
How do you convert 360 degrees to radians? 360 Deg × π/180 = 6.283 Rad.
How do you convert from degrees to radians? using the formula- 1 Deg × π/180 = 0.01745 Rad.
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Convert 90 degrees in radians?
Radians = 90 × π / 180° = 1.57079
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Convert 120 degrees to radians?
Radians = 120 × π / 180° = 2.09439
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Convert 150 degrees in radians?
Radians = 150 × π / 180° = 2.6179
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