The circumferences of two circles are 660 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles? Choose the correct choice from the following choices.
A) 2996 sq m B) 4774 sq m C) 4312 sq m D) 2768 sq m E) 2786 sq m

Rationale: "let the radii of the smaller and the larger circles be s m and l m respectively . 2 ∏ s = 660 and 2 ∏ l = 704 s = 660 / 2 ∏ and l = 704 / 2 ∏ difference between the areas = ∏ l ^ 2 - ∏ s ^ 2 = ∏ { 330 ^ 2 / ∏ ^ 2 - 352 ^ 2 / ∏ ^ 2 } = 330 ^ 2 / ∏ - 352 ^ 2 / ∏ = ( 330 - 352 ) ( 330 + 352 ) / ∏ = ( 22 ) ( 682 ) / ( 22 / 7 ) = 4774 sq m answer : b"
Answer: B