Radius, r of one of the five congruent, inscribed circles is;
8r²+√(3)r-1=0
r = (√(35)-√(3))/16 m.
Therefore;
Total area of the five congruent, inscribed yellow circles is;
5πr²
= 5π( (√(35)-√(3))/16)²
= 5π(35-2√(105)+3)/256
= 5π(38-2√(105))/256
= 5π(19-√(105))/128 m²
= 1.07416074883 m²
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