trig
posted by Ali .
A space shuttle 200 miles above the earth is orbiting the. Earth once every 6 hours. how far does the shuttle travel in one hour? Note the radius of earth about 4000 miles.

circumference = 2π(4200) = 8400π miles
It does this in 6 hours, so in 1 hour > 8400π/6 or appr. 4398.2 miles 
The actual circular orbit velocity of a pseudospace shuttle at 200 miles altitude above the earth of 3963 miles radius is 17,257 mph, taking ~91 minutes to complete an orbit.
I can only assume that the numbers given you for the stated problem were to allow you to exercise the process of solving.