Answer
$2.1401$ radians
Work Step by Step
Step 1: First, we need to convert the angle to decimal degrees:
$122^{\circ}37'=122\frac{37}{60}^{\circ}=122.62^{\circ}$
Step 2: To convert from degrees to radians, we need to multiply the angle in degrees by $\frac{\pi}{180}$ radians,
$122.62^{\circ}=122.62(\frac{\pi}{180})$
Step 3: Using a calculator,
$122.62(\frac{\pi}{180})\approx2.1401$ radians