A radian is an angle measurement opposite of the the arc length which is the same length as the radius. Degrees can be converted to radians by the equation pi/180. Likewise, radians can be converted to degrees via the equation 180/pi. (demonstrated in this video). The circumference of a circle is 2 x pi x radius. This can be related to the concept of radians. 2pi is the amount of radians that make up a circle and the radian of a circle is an arc length equal to the length of the radius. Essentially, the number of segments (radians) that make a circle multiplied by the length of those segments (radius length) equals the length around the circle (circumference). I personally prefer degrees because they're a simpler concept, and I can much easier visualize angles in degrees in my head. Despite my opinion, radians seem much more mathematically pure because they have the ability to answer many other questions. |
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September 2015
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