SOLUTION: If the radius of a circle is increased by 100%, then the area is increased by: (A)100% (B) 200% (C) 300% (D) 400% (E) none of these

Algebra ->  Circles -> SOLUTION: If the radius of a circle is increased by 100%, then the area is increased by: (A)100% (B) 200% (C) 300% (D) 400% (E) none of these       Log On


   

Question 282358: If the radius of a circle is increased by 100%, then the area is increased by:
(A)100% (B) 200% (C) 300% (D) 400% (E) none of these
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Area=piR^2
Area=pi(2R)^2
Area=pi(4R^2)
Area=pi(4)R^2 Thus the area is increased by a factor of 4 or 400%.
Answer(D) 400%.