Question

${110}^{\circ }{30}^{\prime }$ in radians is :

• A. $\frac{221{\pi }^c}{360}$
• B. $\frac{225{\pi }^c}{360}$
• C. $\frac{231{\pi }^c}{360}$
• D. $\frac{229{\pi }^c}{360}$

Answer 1

Answer: (A)

$\frac{221{\pi }^c}{360}$

${110}^{\circ }{30}^{\prime }={110}^{\circ }+{\left(\frac{30}{60}\right)}^{\circ }={\left(110\frac{1}{2}\right)}^{\circ }=\frac{221}{2}\times \frac{{\pi }^c}{180}=\frac{221{\pi }^c}{360}.$