Question

Three semi-circles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region .

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Answer 1

Area of semi-circle PQR = ½π(9/2)2

= 81π/8 cm2

Area of region circle, A = π(9/4)2

= 81π/16 cm2

Area of region (B + C) = π(3/2)2

= 9π/4 cm2

Area of region D = ½π(3/2)2

= 9π/8 cm2

Area of shaded region = Area of semicircle - Area of circle - Area of region (B + C) + Area of region D

= 81π/8 - 81π/16 - 9π/4 + 9π/8

= 63π/16 cm2

= 99/8 cm2

Answer 2

Answer:

12.37 cm²

Step-by-step explanation:

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

Hope my answer will help u dear! :)