Question 8
In triangle $ABC$, $AB=7$ cm, $AC=8$ cm and $BC=9$ cm. A circle with centre $A$ intersects $AB$ at $F$ and $AC$ at $E$. The circles with centres $B$ and $C$ and radii $BF$ and $CE$, respectively, are tangent to each other at a point $D$ on $BC$. What is the total area, in cm², of these three circles? (Taking $\pi=3.14$)
