A circular mat with radius 10 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) 0.5451
D) 3/4
E) 5/6
C.   It is a circle inscribed in a square.   Square side=24---&gt; square(table) area=24^2   0.5451ircle diameter=20---&gt; 0.5451ircle area=PiR^2=100Pi (where Pi=~3.14)   covered fraction=100*3.14/24*24= 
<gadget id="calculator">100*3.14/24*24</gadget>
<output>314</output>
~314/24*24=0.5451   0.5451
<result>C</result>
A circular mat with radius 10 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?