Question

Match the correct angle measurement in degree with their corresponding values in radian.

• A. $\frac{11\pi }{6}$
• B. $\frac{\pi }{3}$
• C. $\frac{29\pi }{6}$
• D. $\frac{5\pi }{2}$

Answer 1

Given for any angle $x^{\circ },$ we have the relation $\frac{x^c}{{\pi }^c}=\frac{x^{\circ }}{{180}^{\circ }}$
$\Rightarrow x^c=\frac{x^{\circ }}{{180}^{\circ }}\times {\pi }^c$
So,
$x^{\circ }={330}^{\circ }\Rightarrow x^c=\frac{{330}^{\circ }}{{180}^{\circ }}\times {\pi }^c=\frac{11\pi }{6}$
$x^{\circ }={60}^{\circ }\Rightarrow x^c=\frac{{60}^{\circ }}{{180}^{\circ }}\times {\pi }^c=\frac{\pi }{3}$
$x^{\circ }={870}^{\circ }\Rightarrow x^c=\frac{{870}^{\circ }}{{180}^{\circ }}\times {\pi }^c=\frac{29\pi }{6}$
$x^{\circ }={450}^{\circ }\Rightarrow x^c=\frac{{450}^{\circ }}{{180}^{\circ }}\times {\pi }^c=\frac{5\pi }{2}$