Calculating Yellow Shaded Area.
Radius, r of the inscribed circle is;
Cos30=r/4
r = 2√(3) in.
Length AD = DB = 2 in.
Or
Length AD = DB is;
= √(4²-(2√(3))²)
= √(16-12)
= √(4) = 2 in.
Therefore yellow area will be;
6(area triangle of height 2√(3) in and base 2 in - area sector of with radius 2√(3) in and angle 30°)
= 6(½(2√(3)x2) - (30π(2√(3))²/360)
= 6(2√(3) - π) in²
= 1.9350537693 in²
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