Vicious Circles And Savage Shapes

Geometry Level 3

The following figure consists of a large semicircle of diameter \(20\text{ cm}\), a smaller full circle of diameter \(10\text{ cm}\), a semicircle of diameter \(5\text{ cm}\), a quadrant of radius \(5 \text{ cm}\), and a right-angled triangle of sides \(20\text{ cm}\) and \(10\text{ cm}\). Find the shaded area in \(\text{cm}^2\).

Give your answer to 1 decimal place.

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