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Overlap, inscribe, and circumscribe a collection of simple geometric shapes to make a complex, composite figure. See more

The side of the square is \( a \). Express the green area with \( a \).

Each square's vertex is a circumcentre of appropriate circular arc.

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If the area of the shaded region equals \( 7x - \cos x \), what is the value of \(\frac \pi x ?\)

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Two right triangles, both with legs measuring \(a\) and \(b\), where \(a>b\), are overlapping as the image above.

What is the area of the gray quadrilateral?

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