Four equal circles are described about the four corners of a square so that each circle touches two of the others. Find the area of the space enclosed between the circumferences of the circles, each side of the square measuring 14 cm.
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Area of the square-area of 4 sectors
Area of square=a ^2 = 14^2 = 196cm2
Area of a sector = X xπr^2/360
Area of 4 sectors = 4xπr^2/360
= 4x90x22x7^2/360x7=154 cm2
Area of space=196-154 = 42cm2
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