The restaurant at the top of the Space Needle in Seattle, Washington, is circular and has a radius of 47.25 feet. The dining part of the restaurant revolves, making about one complete revolution every 48 minutes. A dinner party, seated at the edge of the revolving restaurant at 6:45 P.M. finishes at 8:57 P.M.
(a) Find the angle through which the dinner party rotated.
(b) Find the distance the party traveled during dinner.