A circular mat with diameter 14 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)(7)(7)   Area of the Table = (24)(24)   So the quick way to estimate is looking at the fraction like this: (3/24)(41/24)   I hope this is easy to follow, so with some simplification i get (1/8)(12/7) =3/14= (1/5) Answer is 1/5
<result>C</result>
A circular mat with diameter 14 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?