Express each of the following angles in radians

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 $=-22.5 \times \frac{\pi}{180}=-\frac{\pi}{8}$

 

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