A circular mat with diameter 18 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 most appropriate option:
A) 5/12 B) 3/5 C) 1/2 D) 3/8 E) 5/6
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)(9)(9)   Area of the Table = (24)(24)   So the quick way to estimate is looking at the fraction like this: (3/24)(81/24)   I hope this is easy to follow, so with some simplification i get (1/8)(3) = (3/8) Answer is 3/8
<result>D</result>
A circular mat with diameter 18 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?