In this Figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

The circles drawn taking A, B, C and D form quadrants of radius 7 cm in square.
Radius of each quadrant = 7 cm
Area of each quadrant
= 90°/360° × πr² = 1/4 × π(7)²
= 1/4 × 22/7 × 7 × 7 = 77/2 cm²
Area of square = (Side)² = (14)² = 196 cm²
Area of shaded region = Area of square – Area of 4 quadrants
= 196 – 4 × 77/2 = 196- 154 = 42 cm²

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