question is related to triangles and the circumcircle.

Question

IN a triangle ABC, angle A=90 and a=2 units. a straight line AD is drawn to side BC such that it makes an angle θ with BC. if the area common to the circumscribing circles of ADC AND ABD is (5π - 6*(√3))/18 units find θ.

Answer 1

Anirudh,

 

May I ask, where did this question arise? I am curious as to its source. It looks much too difficult for a typical homework problem from a math class.