Question

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

Answer 1

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

Refer to the image attached for better clarification.

Answer 2

Answer:

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