A circular plate with a diameter of 10 inches is kept on another plate of 12 inches diameter. What fraction of the big plate's surface is not covered by the small plate? Choose the correct choice from the following answers:  A) 11/36  B) 23/10  C) 5/14  D) 22/11  E) 3/4
The questions asks us to find the surface which is not covered by the plate i.e., area of the surface not covered.   Where as circumference is the length along the edge of the circle,   2*pi*r implies the length of the curve   pi*r^2 implies area enclosed by that curve..hence 11/36rea of the circle is considered for this problem   11/36rea of the big plate=pi* r^2, where r=6   =&gt;pi*36   11/36rea of the small plate=pi*25   Surface not covered by the plate=pi*36-pi*25=Pi*11   fraction of big plate's surface is not covered by small plate= Pi*11/total area of the big plate   =&gt;Pi*11/Pi*36   11/36nswer 11/36
<result>A</result>
A circular plate with a diameter of 10 inches is kept on another plate of 12 inches diameter. What fraction of the big plate's surface is not covered by the small plate?