Answer:
22.34 [tex]{km}^{2}[/tex]
Step-by-step explanation:
The area of a circle:
A = π[tex]r^{2}[/tex]
The problem gives the diameter of a circle, which is equal to 2*r.
If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.
Plugging this into the area equation,
A = π*[tex]{{8/3}}^{2}[/tex]
A = [tex]\frac{{64*π}}{9}[/tex] or approximately 22.34 [tex]{km}^{2}[/tex]
