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Question 1
A square with side $a$ is revolved about its centre through $45^\circ$. What is the area common to both the squares?
A.
$2(\sqrt{2}-1)a^2$
B.
$\dfrac{(\sqrt{2}+1)a^2}{2}$
C.
$(\sqrt{3}-1)a^2$
D.
$(\sqrt{5}-1)a^2$
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