# 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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