Answer : The correct option is, (A) 
Step-by-step explanation :
To calculate the the area of shaded sector in the circle in degree, the formula used as:

where,
A = area of sector
= angle = 60°
r = radius of circle = 5 in
Now put all the given values in the above formula, we get:


Therefore, the approximate area of the shaded sector in the circle is, 