Answer
$\color{blue}{\approx 3.051 \text{ radians}}$
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 $50'$ to degrees to obtain:
$50' = 50' \cdot \dfrac{1^o}{60'} = \dfrac{5}{6}^o$
Thus, the given measurement is equivalent to
$174\frac{5}{6}^o$
Convert to radians using the formula in (2) above to obtain:
$\require{cancel}
174\frac{5}{6}^o
\\= 174\frac{5}{6}^o \cdot \dfrac{\pi}{180^o}
\\=3.051417309 \text{ radians}
\\\color{blue}{\approx 3.051 \text{ radians}}$
