Answer
$114^{\circ}35'$
Work Step by Step
Step 1: To convert from radians to degrees, we need to multiply the angle in radians by $(\frac{180^{\circ}}{\pi})$,
$2$ radians$=2(\frac{180^{\circ}}{\pi})$
Step 2: Using a calculator,
$2(\frac{180^{\circ}}{\pi})\approx114.59156^{\circ}$
Step 3: Converting decimal degrees to minutes,
$0.59156(60')\approx35'$
Step 4: Therefore, $114.59156^{\circ}=114^{\circ}35'$
