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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (13) · Pure Mathematics 1 - Question 12

Cambridge AS & A Level · Paper 1 (13) · Pure Mathematics 1

Question 12

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The diagram shows a square $ABCD$ where each side has length 12 cm. Points $E$ and $F$ lie on the sides $BC$ and $CD$ respectively and are such that $BE = \frac{1}{3}BC$ and $DF = \frac{1}{3}DC$. The arc $EF$ is part of a circle with centre $A$. The shaded region is bounded by the arc $EF$ and the line segments $EC$ and $FC$.

**(c)** (In part (a) you showed that angle $EAF = 0.9273$ radians.)

Find the area of the shaded region.
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