Question 12

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.
