Two circular signs are to be painted. If the diameter of the larger sign is seven times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)  Choose the correct choice from the following answers:
A) 7
B) 14
C) 42
D) 49
E) 98
Let R be the radius of the smaller sign.   Then the diameter of the smaller sign is 2R, the diameter of the larger sign is 14R, and the radius of the larger sign is 7R.   The area A of the smaller sign is A = piR^2.   The area of the larger sign is pi(7R)^2=49piR^2=49A.   Since the area is 49 times larger, we need 49 times more paint for the larger sign.   The answer is 49.
<result>D</result>
Two circular signs are to be painted. If the diameter of the larger sign is seven times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)