A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Choices.
A) 5/12
B) 2/5
C) 1/2
D) 3/4
E) 5/6
It is a circle inscribed in a square.   Square side=24---&gt; square(table) area=24^2   Circle diameter=20---&gt; Circle area=PiR^2=100Pi (where Pi=~3.14)   covered fraction=100*3.14/9*100=3.14/9 = 0.3489   5/6
<result>E</result>
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?