Question 4.1.2: Converting from Degrees to Radians Convert each angle in deg...

Converting from Degrees to Radians

Convert each angle in degrees to radians:

a. 30°              b. 90°              c. 135°.

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To convert degrees to radians, multiply by \frac{\pi \text { radians }}{180^{\circ}}. Observe how the degree units cancel.

a. 30^{\circ}=30^{\cancel{\circ}} \cdot \frac{\pi \text { radians }}{180^{\cancel{\circ}}}=\frac{30 \pi}{180} \text { radians }=\frac{\pi}{6} \text { radians }

b. 90^{\circ}=90^{\cancel{\circ}} \cdot \frac{\pi \text { radians }}{180^{\cancel{\circ}}}=\frac{90 \pi}{180} \text { radians }=\frac{\pi}{2} \text { radians }

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