Q9 of 31 Page 181

In figure, ABCD is a rectangle. The side AB = 10 cm and BC = 7 cm. From each vertex of the rectangle, are of radii 3.5 cm are drawn. Find the shaded region.

Given: AB = 10 cm, BC = 7 cm, Radius of the quadrants = 3.5 cm


In the given figure, the four quadrants together form a circle of radius 3.5 cm


Area of the shaded region = Area of the rectangle – Area of the circle formed by the 4 quadrants


Area of rectangle = Length × breadth = 10× 7 = 70 cm2


Area of a circle = πr2



Area of the shaded region = 70 – 38.5 = 31.5 cm2


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