Vicious Circles And Savage Shapes

Geometry Level 1

The following figure consists of a large semicircle of diameter 20 cm20\text{ cm}, a smaller full circle of diameter 10 cm10\text{ cm}, a semicircle of diameter 5 cm5\text{ cm}, a quadrant of radius 5 cm5 \text{ cm}, and a right-angled triangle of sides 20 cm20\text{ cm} and 10 cm10\text{ cm}. Find the shaded area in cm2\text{cm}^2.

Give your answer to 1 decimal place.

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