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)

(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