1.

Three semicircles each of diameter 3 cm,a circle of diameter 4.5 cm and asemicircle of radius 4.5 cm are drawn inthe given figure. Find the area of theshaded region.(CBSE 2017)

Answer»

Area of shaded region = Area of larger semicircle - Area of circle - 2(Area of small semicircle) + Area of small semicircle= Area of larger semicircle - Area of circle - Area of small semicircle= [π(4.5 cm)²/2] - π(4.5/2 cm)² - [π(3/2 cm)²/2]= π[(4.5)²/2 - (4.5/2)² - (3/2)²/2] cm²= 12.37 cm²



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