Question:
Express each of the following angles in radians
$-22^{\circ} 30^{\prime}$
Solution:
Formula : Angle in radians = Angle in degrees $\times \frac{\pi}{180}$
The angle in radians $=\frac{\text { angle in minutes }}{60}$
Therefore, the total angle $=-\left(22+\frac{30}{60}\right)=-22.5$
Therefore, Angle in radians $=-22.5 \times \frac{\pi}{180}=-\frac{\pi}{8}$