Shouldn't the side be a multiple of 6?

Geometry Level 5

The figure above shows a regular Hexagon \( ABCDEF \). The length of each side is \( 7 \text{unit} \). Circles are drawn taking vertices of Hexagon as their centre of radius \( \dfrac{7}{\sqrt{2}} \). Then the area of shaded region shown in the figure can be expressed as \[ \dfrac{a^2}{b} ( c\sqrt{d} - c - e\pi ) sq. units\] Where \( a,b,c,d,e \) are positive integers and \( GCD(a,b,c,d,e) = 1 \).

Find value of \( a + b + c + d + e .\)

Note : Figure is not drawn to scale.

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