Q5 of 26 Page 242

Find the area of the shaded region in figure, if ABCD is a square of side 7 cm. and APD and BPC are semicircles.

(use π = 22/7)


Area of shaded region = Area of square – area of 2 semicircles


Area of square = 7 × 7 = 49 sq.cm


Area of semicircles =


= π × r2


= π × 3.52


= 38.5 sq.cm


Area of shaded region = 49-38.5 = 10.5 cm2


More from this chapter

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3

A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm. sweeping through an angle of 115o. Find the total area cleaned at each sweep of the blades.

(use π = 22/7)

 4

Find the area of the shaded region in figure, where ABCD is a square of side 10 cm. and semicircles are drawn with each side of the square as diameter

(use π = 3.14)


 6

In figure, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm., find the area of the shaded region.

(use π = 22/7)


 7

AB and CD are respectively arcs of two concentric circles of radii 21 cm. and 7 cm. with centre O (See figure). If ∠AOB = 30°, find the area of the shaded region.

(use π = 22/7)