If the radius of a circle is increased three times then its area is increased:

(A) three time
(B) six times
(C) nine times
(D) none of these

The answer is: (C) nine times
Area = πr2
If radius is increased by 3 times, then
NewArea = π(3r)2 = π9r2 =9(πr2) =9(Area)
So, area is increased by 9 times.