Imagine this as a circle. The circle will have a radius of 17mi and the lighthouse will be in the middle. The area of the circle will be the area over which the beacon can be seen.
[tex] A=\pi r^{2} [/tex] is the equation for the area of the circle where A is the area.
Now we simply plug in our information
A=[tex] \pi (17)^{2} [/tex]
A=907.9[tex]mi^{2} [/tex]