Question

Convert 210° into radians.

• A. 5π/6
• B. 4π/3
• C. 7π/6
• D. 3π/4

Answer 1

Answer: (C)

7π/6

Answer 2

To convert degrees to radians, we use the conversion factor $\frac{\pi}{180^\circ}$.

Given angle = $210^\circ$

To convert $210^\circ$ to radians, multiply it by $\frac{\pi}{180^\circ}$: $210^\circ \times \frac{\pi \text{ radians}}{180^\circ} = \frac{210\pi}{180} \text{ radians}$

Now, simplify the fraction $\frac{210}{180}$: Divide both numerator and denominator by 10: $\frac{21}{18}$ Divide both numerator and denominator by 3: $\frac{7}{6}$

So, $210^\circ = \frac{7\pi}{6}$ radians.