Question

Find the degree measure corresponding to $\frac{\pi }{32}rad$.

• A. $5^{\circ }37^{\prime }30^{\prime \prime }$
• B. $5^{\circ }30^{\prime }20^{\prime \prime }$
• C. $4^{\circ }30^{\prime }30^{\prime \prime }$
• D. $4^{\circ }20^{\prime }20^{\prime \prime }$

Answer 1

Answer: (A)

Required degree measure $=\frac{180}{\pi }\times$ Radian measure
$=\frac{180}{\pi }\times \frac{\pi }{32}={\left(\frac{45}{8}\right)}^{\circ }$
$={\left(5\frac{5}{8}\right)}^{\circ }=5^{\circ }{\left(\frac{5}{8}\times 60\right)}^{\prime }$
$=5^{\circ }{\left(\frac{75}{2}\right)}^{\prime }$
$=5^{\circ }37^{\prime }{\left(\frac{1}{2}\times 60\right)}^{\prime \prime }$
$=5^{\circ }37^{\prime }30^{\prime \prime }$