A square is inscribed in a circle of diameter 2a and another square is circumscribing circle. The difference between the areas of outer and inner squares is__

A a2
B 2a2
C 3a2
D 4a2

Correct Answer: 2a2

Length of a side of the outer square = 2a. Area = (2a)² = 4a². Length of the diagonal of the inner square = 2a. Length of a side of the inner square = 2a/√2 Area = (2a/√2)² = 4a²/2 = 2a² Difference = 4a² - 2a² = 2a². Ans: B
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