The measurement around the crater is the circumference. We need to find the radius so we can find the area fo the crater.
[tex]C= 2\pi r [/tex]
Plug in values
79.5=2*(3.14)r
Multiply 2 and 3.14
79.5 = 6.28r
Divide both sides by 6.28
r approximately 12.66 miles
Area of a circle
[tex]A= \pi r^2 [/tex]
Plug in values
A=(3.14)*12.66^2
Area = approximately 503.27 Sq Miles