Express each of the following angles in radians

Question:

Express each of the following angles in radians

$7^{\circ} 30 .^{\prime}$

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 $=7+\frac{30}{60}=7.5$

Therefore, Angle in radians $=7.5 \times \frac{\pi}{180}=\frac{\pi}{24}$

 

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