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Degrees and radians are two units of angle measurement. [1] X Research Source A circle has 360 degrees, which is equivalent to 2π radians, so 360° and 2π radians represent the numerical value of “one turn” of the circle. [2] X Research Source If you’re still confused don’t worry, with just a few simple steps you can easily convert degrees to radians and vice versa.
Steps
- Example 1 : 120°
- Example 2 : 30°
- Example 3 : 225°
- Example 1 : 120 x /180
- Example 2 : 30 x /180
- Example 3 : 225 x /180
- Example 1 : 120 x /180 = 120π/180
- Example 2 : 30 x /180 = 30π/180
- Example 3 : 225 x /180 = 225π/180
- Example 1 : 120 x /180 = 120π/180 60/60 = 2/3π radians
- Example 2 : 30 x /180 = 30π/180 30/30 = 1/6π radian
- Example 3 : 225 x /180 = 225π/180 45/45 = 5/4π radians
- Example 1 : 120° = 2/3π radian
- Example 2 : 30° = 1/6π radian
- Example 3 : 225° = 5/4π radian
wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, volunteer authors have edited and improved the article over time.
There are 7 references cited in this article that you can view at the bottom of the page.
This article has been viewed 235,170 times.
Degrees and radians are two units of angle measurement. [1] X Research Source A circle has 360 degrees, which is equivalent to 2π radians, so 360° and 2π radians represent the numerical value of “one turn” of the circle. [2] X Research Source If you’re still confused don’t worry, with just a few simple steps you can easily convert degrees to radians and vice versa.
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