1. The problem statement, all variables and given/known data Given: The diameter of the Earth is 8000 miles If angle ACB has measure 1', then the distance between A and B is a nautical mile. Approximate the number of and (statute) miles in a nautical mile. 2. Relevant equations Arc Length Therom: s=r(theta) 3. The attempt at a solution I think I have this figured out and I was just over-thinking it, but I'd like to check with others. 1'=1/60 degrees, but this needs to be changed to radians so it can be used in the arc length formula. --- 1/60*pi/180 = pi/10800 radians. Apply this along with the Earth's radius (8000/2 = 4000 miles) to the arc length formula --- (pi/10800)*4000 = 4000pi/10800 miles. This simplifies out to10pi/27 or about 1.16 miles per nautical mile. However, I will put down 10pi/27 because my instructor wants exact answers. Did I do this correcty? Thanks in advance!