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Calculate the area of the Edgeworth-Kuiper belt located between the orbit of Neptune (30 AU) and 50 AU. Express the result as a fraction of the total area of the solar system extending to 50 AU.

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Area of a circle (A) = r2π  

r = 50 AU A50 = (50)2 π = 7850 (AU)2 

r = 30 AU A30 = (30)π = 2826 (AU)2 

A50 - A50 = (7850 - 2826) (AU)2 = 5024 (AU)2

(A50 - A30)/A50 = (5024 x 100)/7850 = 64%

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