You are a intrepid 2-dimensional explorer located at the northern polar reaches of a distant 2-dimensional planet. Unfortunately, you have been assigned to explore the most boring planet in the known universe (due primarily to your lack of social skills and aggressive body odor). Having a perfectly circular surface, your planet holds no surprises for a would-be explorer.
However, you have recently received a distress call from an alien ship which has crash-landed somewhere on the surface of your planet. Unfortunately, you designed your own equipment, and the only information it will give you is an angle (measured from the center of the planet) separating you from the crash site.
Using this information along with how much gasoline is available for your planet-rover (which gets a measley 5 miles per gallon), you have to determine if you can possibly get to the crash site and back without running out of fuel.