Question

for each of the following angles, find the radian measure of the angle with the given degree measure (you can enter π as pi in your answers):
0°
210°
400°
250°
270°
question help: video

Explanation:

Step1: Convert 0° to radians

Multiply by $\frac{\pi}{180^\circ}$: $0^\circ \times \frac{\pi}{180^\circ} = 0$

Step2: Convert 210° to radians

Multiply by $\frac{\pi}{180^\circ}$: $210^\circ \times \frac{\pi}{180^\circ} = \frac{7\pi}{6}$

Step3: Convert 400° to radians

Multiply by $\frac{\pi}{180^\circ}$: $400^\circ \times \frac{\pi}{180^\circ} = \frac{20\pi}{9}$

Step4: Convert 250° to radians

Multiply by $\frac{\pi}{180^\circ}$: $250^\circ \times \frac{\pi}{180^\circ} = \frac{25\pi}{18}$

Step5: Convert 270° to radians

Multiply by $\frac{\pi}{180^\circ}$: $270^\circ \times \frac{\pi}{180^\circ} = \frac{3\pi}{2}$

Answer:

0
$\frac{7\pi}{6}$
$\frac{20\pi}{9}$
$\frac{25\pi}{18}$
$\frac{3\pi}{2}$