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 was seated at the edge of the revolving restaurant at 6:45 p.m. and was finished at 8:57. Find the angle through which the dinner party rotated. Find the distance the party traveled during dinner.