Question

Express the following angles into radian

${10}^o,{40}^o,{30}^o$

Answer 1

Radian measure is the ratio of the length of a circular arc (a) to the radius of the arc (r). When dealing with a central angle of a unit circle, the measure of the angle (in radians) can be modelled as an arc length along the unit circle.

Let $1^o=0.0174$ radians

Therefore,

${10}^o=0.1745$ radians

${40}^o=0.698$ radians

${30}^o=0.523$ radians