The circumferences of two circles are 264 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?	Choose the correct choice from the following options.
A) 29960 sq m  B) 33880 sq m  C) 43120 sq m  D) 27680 sq m  E) 12786 sq m

Rationale: "let the radii of the smaller and the larger circles be s m and l m respectively . 2 ∏ s = 264 and 2 ∏ l = 704 s = 264 / 2 ∏ and l = 704 / 2 ∏ difference between the areas = ∏ l ^ 2 - ∏ s ^ 2 = ∏ { 132 ^ 2 / ∏ ^ 2 - 352 ^ 2 / ∏ ^ 2 } = 132 ^ 2 / ∏ - 352 ^ 2 / ∏ = ( 132 - 352 ) ( 132 + 352 ) / ∏ = ( 220 ) ( 484 ) / ( 22 / 7 ) = 33880 sq m answer : b"
Answer: B