7. ABCD is a square of side 14 cm. With centers 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.
Area of shaded portion= Area of square- Area of four sectors (1)
Area of square = side x side = 14 x 14=196 (2)
Side of square =14 cm which means that radius of circle cm
Area of 1 sector
Area of 4 sectors (3)
Putting (2) and (3) in (1), we get
Area of shaded portion=196-154=42