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2009 xIMC keystage2-EMIC team Question 8

xIMC · 2009 xIMC keystage2-EMIC team

Question 8

Semicircle $O$ has diameter $AB=12$ cm, trisected by $C,D$. Radius-$4$ arcs centred at $C,D$ meet at $M$, whose height above $AB$ is given as $3.464$ cm. Radius-$2$ semicircles centred at $C,D$ have endpoints $E,O$ and $O,F$. Find the shaded area shown, using $\pi=3.14$, to three decimal places.

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