Answer
$564^{\circ}14'$
Work Step by Step
Step 1: To convert from radians to degrees, we need to multiply the angle in radians by $(\frac{180^{\circ}}{\pi})$,
$9.84763$ radians$=9.84763(\frac{180^{\circ}}{\pi})$
Step 2: Using a calculator,
$9.84763(\frac{180^{\circ}}{\pi})\approx564.2276^{\circ}$
Step 3: Converting decimal degrees to minutes,
$0.2276(60')\approx14'$
Step 4: Therefore, $564.2276^{\circ}=564^{\circ}14'$
