Answer:
45219.4 square miles
Step-by-step explanation:
Circumference of a circle is given by
[tex]C=2\pi r[/tex]
Where r is the radius and C is circumference
Making r the subject of the formula then
[tex]r=\frac {C}{2\pi}[/tex]
Substituting C with 754 miles then
[tex]r=\frac {754}{2\pi}=119.95454545454miles\\r\approx 119.95 miles[/tex]
Area of a circle is given by
[tex]A=\pi r^{2}[/tex]
Substituting 119.95miles for r then
[tex]A=\pi 119.95^{2}=45219.436428571 mile^{2}\\A\approx 45219.4 mile^{2}[/tex]
The area is approximately 45219.4 square miles
