# Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 105: 87

$0^{\circ} = 0~radians$ $30^{\circ} = \frac{\pi}{6}~radians$ $45^{\circ} = \frac{\pi}{4}~radians$ $60^{\circ} = \frac{\pi}{3}~radians$ $90^{\circ} = \frac{\pi}{2}~radians$ $120^{\circ} = \frac{2\pi}{3}~radians$ $135^{\circ} = \frac{3\pi}{4}~radians$ $150^{\circ} = \frac{5\pi}{6}~radians$ $180^{\circ} = \pi~radians$ $210^{\circ} = \frac{7\pi}{6}~radians$ $225^{\circ} = \frac{5\pi}{4}~radians$ $240^{\circ} = \frac{4\pi}{3}~radians$ $270^{\circ} = \frac{3\pi}{2}~radians$ $300^{\circ} = \frac{5\pi}{3}~radians$ $315^{\circ} = \frac{7\pi}{4}~radians$ $330^{\circ} = \frac{11\pi}{6}~radians$

#### Work Step by Step

We can complete the missing measures: $0^{\circ} = 0~radians$ $30^{\circ} = \frac{\pi}{6}~radians$ $45^{\circ} = \frac{\pi}{4}~radians$ $60^{\circ} = \frac{\pi}{3}~radians$ $90^{\circ} = \frac{\pi}{2}~radians$ $120^{\circ} = \frac{2\pi}{3}~radians$ $135^{\circ} = \frac{3\pi}{4}~radians$ $150^{\circ} = \frac{5\pi}{6}~radians$ $180^{\circ} = \pi~radians$ $210^{\circ} = \frac{7\pi}{6}~radians$ $225^{\circ} = \frac{5\pi}{4}~radians$ $240^{\circ} = \frac{4\pi}{3}~radians$ $270^{\circ} = \frac{3\pi}{2}~radians$ $300^{\circ} = \frac{5\pi}{3}~radians$ $315^{\circ} = \frac{7\pi}{4}~radians$ $330^{\circ} = \frac{11\pi}{6}~radians$

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