A cow is tied with a rope of length at the corner of a rectangular field of dimensions . Find the area of the field in which the cow can graze.
Step 1: Drawing the figure as per the given condition.
Step 2: Finding the area of the given sector.
As seen in the figure we need to find out the area of the sector AFEG whose radius is .
So, we know that the area of the sector
Here,
Putting the values in the formula
Hence, the area of the field that can the cow can graze is