Question

Find the circular measure of the following angle $75^{\circ}$

• A. $\frac{\pi}{3}$
• B. $\frac{5 \pi}{12}$
• C. $\frac{3\pi}{4}$
• D. $\frac{2 \pi}{7}$

Answer 1

Answer: (B)

$\frac{5 \pi}{12}$

Answer 2

(i) Now, $180^{\circ} = \pi$ radian $\Rightarrow 1^{\circ}=\frac{\pi}{180}$ radian $\Rightarrow 75^{\circ}=\frac{75\pi}{180}=\frac{5\pi}{12}$ radian