Figure in two circles attached

As shown in a figure, the circle A centering on the point A with a radius of 3 cm and the circle B centering on the point B with a radius of 2 cm have touched.

The points C and D are points on the circumference of the circle B.

The points E and F are points on the circumference of the circle A.

Three point A, E and C are on a straight line and three point A, F and D are also on a straight line.

Find the area ratio of a quadrangle ACBD and the triangle AEF.

Answer