A circular mat with diameter 22 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Choose the correct option:
A) 5/12
B) 2/5
C) 3/2
D) 3/4
E) 5/8
SO we are looking for the area of the cloth over the area of the table   Area of the Cloth = (pi)(r)^2 which is about (3)(11)(11)   Area of the Table = (24)(24)   So the quick way to estimate is looking at the fraction like this: (3/24)(121/24)   I hope this is easy to follow, so with some simplification i get (1/8)(5) = (5/8) Answer is 5/8
<result>E</result>
A circular mat with diameter 22 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?