Let the single side length of the inscribed equilateral triangle be 1 unit.
Therefore;
Green Area is;
¼(2√(3)+2-π) square unit.
Large Semi Circle Area is;
½(π(1+(√(3)/2))²
= (π(7+4√(3)))/8 square unit.
Area Green ÷ Area Large Semi Circle as a single fraction in its simplest form is;
¼(2√(3)+2-π) ÷ (π(7+4√(3)))/8
= 8(2√(3)+2-π)/4(7π+4√(3)π)
= (4√(3)+4-2π)/(7π+4√(3)π)
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