A square and circle with equal areas are placed in such a way that both intersected in some points like Vitruvian Man of Leonardo Da Vinci. One of the intersections is point **A**, located exactly on middle of square side (see illustration). Two other points, called **B** and **C**, are chosen from intersection points so that **ABC** triangle can be formed. If the area of square (or circle) is one unit, what is the area of **ABC** triangle?

(Enter approximation up to 3 digits on answer box)

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