Name radii of the circle.
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Area of an equilateral triangle is 
, where s is length of a side; we have s = 2 + 4 + 2 = 8 mm; then area is 
;
Area of a semi-circle = (1/2)π
, where r is the radius of circle; r = 4/2 = 2 mm; then area is 2π;
The shaded area is![16 \sqrt{3} - 2π = 2( [tex]8 \sqrt{3}](https://tex.z-dn.net/?f=16%20%5Csqrt%7B3%7D%20-%202%CF%80%20%3D%202%28%20%5Btex%5D8%20%5Csqrt%7B3%7D%20)
- π );
Area of a semi-circle = (1/2)π
The shaded area is