Question

Find the degree measure corresponding to the following radian measure: 
 1^c

Answer 1

We have: 
\[\pi \text{ rad }= 180^\circ\]
\[ \therefore 1 \text{ rad }= \left( \frac{180}{\pi} \right)^\circ \]
\[ \left( 1 \right)^c = \left( \frac{180}{\pi} \times 1 \right)^\circ \]
\[ = \left( \frac{180}{22} \times 7 \times 1 \right)^\circ\]
\[ = \left( \frac{630}{11} \right)^\circ\]
\[ = \left( 57\frac{3}{11} \right)^\circ\]
\[ = 57^\circ \left( \frac{3}{11} \times 60 \right)^′ \]
\[ = 57^\circ \left( 16\frac{4}{11} \right)^′  \]
\[ = 57^\circ16' \left( \frac{4}{11} \times 60 \right)^{''}\]
\[= 57^\circ16'21 . 81 '' \]
\[ \approx 57^\circ16'22 ''\]