Question

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

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

Answer 1

Answer: (A)

Required degree measure $=\frac{180}{\pi}\times$ Radian measure
$=\frac{180}{\pi}\times\frac{\pi}{32}=\left(\frac{45}{8}\right)^{\circ}$
$=\left(5 \frac{5}{8}\right)^{\circ}=5^{\circ}\left(\frac{5}{8}\times60\right)'$
$=5^{\circ}\left(\frac{75}{2}\right)'$
$=5^{\circ}37'\left(\frac{1}{2}\times60\right)''$
$=5^{\circ}\,37'\,30''$