Answer
$0.9847$ radians
Work Step by Step
Step 1: First, we need to convert the angle to decimal degrees:
$56^{\circ}25'=56\frac{25}{60}^{\circ}=56.42^{\circ}$
Step 2: To convert from degrees to radians, we need to multiply the angle in degrees by $\frac{\pi}{180}$ radians,
$56.42^{\circ}=56.42(\frac{\pi}{180})$
Step 3: Using a calculator,
$56.42(\frac{\pi}{180})\approx0.9847$ radians