Mathematics · Mensuration
A rectangular cardboard sheet measures 14 cm in length and 11 cm in width. From each of the two longer sides (each 14 cm), three equilateral triangles of side 2 cm are cut out. From each of the two shorter sides (each 11 cm), a semicircle is cut out, such that none of the triangles or semicircles overlap with one another. If the perimeter of the cardboard after all these cuttings is 70 cm, find the radius (in cm) of each semicircle cut out. (Use π = 227)
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