Hmm.
Area of a regular hexagon = 3√3a22
where a is the side length.
Therefore area of a regular hexagon whose perimeter is 24 ft. is 3√3⋅42⋅12=24√3 sq. ft.
For #2, I assume that the circle touches the side whose length is 14ft.
Then the area of shaded region is:
14×21−π(72)=(294−49π) sq. ft.
.