The Deathly Hallows

Geometry Level 3

Given that

  • the Invisibility Cloak (the large triangle) is equilateral,
  • each side of the triangle is tangent to the Resurrection Stone (the circle in the middle), and
  • the Elder Wand (the vertical line down the center) has a length of \(L\),

what is the area of the shaded region, in terms of \(L\)?

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