A circular mat with diameter 12 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 one.
A) 5/12 B) 2/5 C) 1/5 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 1/5loth = (pi)(r)^2 which is about (3)(6)(6)   Area of the Table = (24)(24)   So the quick way to estimate is looking at the fraction like this: (3/24)(36/24)   I hope this is easy to follow, so with some simplification i get (1/8)(3/2) =3/16= (1/5) Answer is 1/5
<result>C</result>
A circular mat with diameter 12 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?