Question

find the are of shaded region??

Answer 1

Answer:

12.58 cm²

Step-by-step explanation:

(i) Area of larger semicircle:

πr²/2

= π(4.5)²/2

= (22/7) * 10.125

= 31.82 cm²

(ii) Area of smaller semicircle:

πr²/2

= (22/7) * (4.5 - 3)²/2

= (22/7) * (1.5)²/2

= 3.53 cm²

(iii) Area of circle:

πr²

= (22/7) * (2.25)²

= 15.71 cm²

Area of shaded region:

= 31.82 - 15.71 - 2(3.53) + 3.53

= 31.82 - 15.71 - 7.06 + 3.53

= 12.58 cm²

Hope it helps!

Answer 2

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