![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
A radian is larger.
\Because, one radian is the angle of an arc created by wrapping the radius of a circle around its circumference.
\\
![\"\"](\"/userfiles/47-363-120.gif\")
In the above diagram, the radius has been wrapped around the circumference to create an angle of 1 radian.
\The radius ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=cc9bb0729dc9c8bf32a7cdd2a48bca93.png\")
fits around the circumference of a circle exactly ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e581e4e1202483d8e5073d76fa22884c.png\")
times.
That is why the circumference of a circle is given by : circumference = ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=400780362fd3d5739041d68e3bcb1c6e.png\")
.
Therefore, the larger measure of an angle is one radian.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The larger measure of an angle is one radian.