Three circles, One triangle

Geometry Level 3
  • Circle 1 has A B AB as it's diameter.
  • Circle 2 has A C AC as it's diameter.

Find the angle B A C \angle BAC in triangle A B C ABC when the area of it's circumcircle is equal to the sum of the areas of circle 1 and circle 2.

45 30 90 120 60

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