The circumferences of two circles are 268 meters and 380 meters. Find the difference between the areas of the larger and the smaller circles. Select:
A) 388.15
B) 2992
C) 4312.5
D) 2887.27
E) 5773.09

Rationale: "let the radii of the smaller and the larger circles be s m and l m respectively . 2 ∏ s = 268 and 2 ∏ l = 380 s = 268 / 2 ∏ and l = 380 / 2 ∏ difference between the areas = ∏ l 2 - ∏ s 2 = ∏ { 1902 / ∏ 2 - 1342 / ∏ 2 } = 1902 / ∏ - 1342 / ∏ = ( 190 - 134 ) ( 190 + 134 ) / ∏ = ( 56 ) ( 324 ) / ( 22 / 7 ) = ( 18144 ) / ( 22 ) ( 7 ) = 5773.09 sq m . answer : e"
Answer: E