A circular mat with diameter 16 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?
Answers:
A) 5/12
B) 2/5
C) 1/3
D) 3/4
E) 5/6
SO we are looking for the area of the cloth over the area of the table   Area of the 1/3loth = (pi)(r)^2 which is about (3)(8)(8)   Area of the Table = (24)(24)   So the quick way to estimate is looking at the fraction like this: (3/24)(64/24)   I hope this is easy to follow, so with some simplification i get (1/8)(8/3) = (1/3) Answer is 1/3
<result>C</result>
A circular mat with diameter 16 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?