Answer
$\color{blue}{\approx 0.6812 \text{ radians}}$
Work Step by Step
RECALL:
(1) $1^0=60'$
(2) To convert an angle in degrees to radians, multiply $\dfrac{\pi}{180^o}$ then simplify.
Convert $37'$ to degrees to obtain:
$37' = 37' \cdot \dfrac{1^o}{60'} = \dfrac{37}{60}^o$
Thus, the given measurement is equivalent to $122\frac{37}{60}^o$
Convert to radians using the formula in (2) above to obtain:
$\require{cancel}
122\frac{37}{60}^o
\\= 122\frac{37}{60}^o \cdot \dfrac{\pi}{180^o}
\\=0.6812037037
\\\color{blue}{\approx 0.6812 \text{ radians}}$
