Question 34
The diagram shows an equilateral triangle *ABC* with all sides of length 12 cm.
*ANP* is a sector of a circle, centre *A*.
*N* lies on *AC* such that *AN* : *NC* = 2 : 1.
*P* lies on *AB* such that *AP* : *PB* = 2 : 1.
Calculate the area of the shaded region.
(answer in cm$^2$)
