Results of Angles with Degree and Radian

1) ANGLE: The union of two non collinear rays which has common end point is called an angle.
2) RADIAN: Angle subtended at the centre of a circle by an arc of length equal to the radius of the circle is called angle of one radian.
3) A circle contains  = 2\pi Radians
4) A circle contains  = {180^  \circ } Degrees
5) \pi Radians  = 180 Degrees
6) 1 Degree  = 60 Minutes = 60'
7) 1 Minute  = 60 Second  = 60''
8) 1 Radian  = \frac{{{{180}^ \circ }}}{\pi } = {57.295778^  \circ } = {57^ \circ }17'44.8''
9) {1^ \circ } = \frac{\pi  }{{180}} = 0.01745 Radian
10)
Degrees
{30^ \circ }
{45^ \circ }
{60^ \circ }
{90^ \circ }
{120^ \circ }
{135^ \circ }
{150^ \circ }
{180^ \circ }
Radians
\frac{\pi }{6}
\frac{\pi }{4}
\frac{\pi }{3}
\frac{\pi }{2}
\frac{{2\pi }}{3}
\frac{{3\pi }}{4}
\frac{{5\pi }}{6}
\pi
 
11) If \theta is the angle (measured in radians) subtended at the centre of a circle of radius r by an arc of length S, then S  = r\theta .