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?
Choose the correct choice from the following choices
A) 5/12  B) 0.3489  C) 1/2  D) 3/4  E) 5/6
C.   It is a circle inscribed in a square.   Square side=30---&gt; square(table) area=30^2   Circle diameter=20---&gt; Circle area=PiR^2=100Pi (where Pi=~3.14)   covered fraction=100*3.14/30*30= 
<gadget id="calculator">100*3.14/30*30</gadget>
<output>314</output>
~314/30*30=3.14/9=0.3489   0.3489
<result>B</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?