Difference between revisions of "Radian"
From Encyclopedia of Mathematics
(Importing text file) |
(TeX) |
||
| Line 1: | Line 1: | ||
| − | The angle corresponding to an arc on a circle with length equal to the radius; thus, | + | {{TEX|done}} |
| + | The angle corresponding to an arc on a circle with length equal to the radius; thus, $180$ degrees is $\pi$ radians; it is approximately $57^\circ17'44''$. A radian is taken as the unit of measurement of angles in the so-called circular, or radian, measurement of angles. If the circular measure of an angle is $a$ radian, then the angle contains $180a/\pi$ degrees; conversely, an angle of $n^\circ$ has circular measure of $\pi n/180^\circ$ radians. | ||
Latest revision as of 21:25, 11 April 2014
The angle corresponding to an arc on a circle with length equal to the radius; thus, $180$ degrees is $\pi$ radians; it is approximately $57^\circ17'44''$. A radian is taken as the unit of measurement of angles in the so-called circular, or radian, measurement of angles. If the circular measure of an angle is $a$ radian, then the angle contains $180a/\pi$ degrees; conversely, an angle of $n^\circ$ has circular measure of $\pi n/180^\circ$ radians.
How to Cite This Entry:
Radian. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Radian&oldid=31576
Radian. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Radian&oldid=31576
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article