In given figure the area of an equilateral triangle ABC is 17320.5 cm². With each vertex of the triangle as a center, a circle is drawn with a radius equal to half the length of the side of the triangle. Find the area of the shaded region. (Use π=3.14 and √3=1.73205)

Given AB=BC=AC
Area of Equilateral △ABC=17320.5 cm²
∴ √3/4 × AB² = 17320.5
∴ AB = 200 cm
Also, AB = 2AD ∴ AD = 100 cm = radius
Area of sector DAE + Area of sector DBF + Area of sector FCE
We know that area of sector = θ/360 × π × r² = 3 × 60/360 × 3.14 × 100 × 100 = 15700 cm²
∴ Area of the shaded region = Area of equilateral triangle − Area of all sectors = 17320.5 − 15700 = 1620.5 cm²