5. Nyatakan ukuran $$ 315^{\circ}, 240^{\circ} $$, dan $$ 150^{\circ} $$ ke dalam ukuran radian.

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UpStudy AI · Accepted Answer

1. To convert degrees to radians, we use the formula  
   $$
   \text{angle in radians} = \text{angle in degrees} \times \frac{\pi}{180}.
   $$

2. For $$315^\circ$$:  
   $$
   315^\circ = 315 \times \frac{\pi}{180} = \frac{315\pi}{180}.
   $$  
   Simplify by dividing numerator and denominator by their greatest common divisor (45):  
   $$
   \frac{315\pi}{180} = \frac{7\pi}{4}.
   $$

3. For $$240^\circ$$:  
   $$
   240^\circ = 240 \times \frac{\pi}{180} = \frac{240\pi}{180}.
   $$  
   Simplify by dividing numerator and denominator by their greatest common divisor (60):  
   $$
   \frac{240\pi}{180} = \frac{4\pi}{3}.
   $$

4. For $$150^\circ$$:  
   $$
   150^\circ = 150 \times \frac{\pi}{180} = \frac{150\pi}{180}.
   $$  
   Simplify by dividing numerator and denominator by their greatest common divisor (30):  
   $$
   \frac{150\pi}{180} = \frac{5\pi}{6}.
   $$

Thus, the radian measures are  
$$
315^\circ = \frac{7\pi}{4}, \quad 240^\circ = \frac{4\pi}{3}, \quad 150^\circ = \frac{5\pi}{6}.
$$
$$315^\circ = \frac{7\pi}{4}$$, $$240^\circ = \frac{4\pi}{3}$$, $$150^\circ = \frac{5\pi}{6}$$.

5. Nyatakan ukuran \( 315^{\circ}, 240^{\circ} \), dan \( 150^{\circ} \) ke dalam ukuran radian.

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