In the figure above A is the centre of the circle, A and D lie on BF and CE respectively, and B, D, F, and G lie on the circle. If BC=3, and DG bisects BF, what is the total area of the shaded regions?

Hi,

I am struggling with a question in the guesstimate section. Although you did a good job of clarifying I am still a bit confused as math isn’t my strongest suit. The question is:
p. 52, Q.20: In the figure above A is the centre of the circle, A and D lie on BF and CE respectively, and B, D, F, and G lie on the circle. If BC=3, and DG bisects BF, what is the total area of the shaded regions?

I am just wondering, how you would go about calculating the area of the shaded region in detail.