Q:

How many radians are in 30 degrees?

A:

The measurement of 30 degrees is equal to ?/6 radians. In the unit circle, there are four crucial coordinates. Zero degrees equals zero radians; 90 degrees is ?/2 radians; 180 degrees is ? radians; and 270 degrees is 3/2? radians.

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Radian measurements closely followed the development of trigonometry and graphing periodic functions, such as sine or cosine waves. In contrast, measuring circles and angles in degrees dates back to ancient Babylonia. The Babylonians used a base 60 number system as opposed to the base 10 decimal system which largely supplanted it.

Although Arabic numerals and base 10 mathematics have been adopted worldwide, the base 60 system remains a fundamental part of daily life. Hours contain 60 minutes, and each minute contains 60 seconds. In geography, each minute of arc is equal to 1/60th of a degree of latitude.

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