Question

Calculate the area of the shaded region, if the diameter of the semicircle is 14 cm. `["Take"  π = 22/7]`

Answer 1

Given:

• Diameter of both semicircles = 14 cm
• Radius r = `14/2` = 7 cm
• `π = 22/7`

Step-by-step Calculation

1. Area of larger semicircle (facing upward)

Area_large = `1/2 πr^2`

= `1/2 xx 22/7 xx 7^2`

= `1/2 xx 22/7 xx 49`

= `1078/14`

= 77 cm²

2. Area of smaller semicircle (facing downward)

Same calculation (since radius is the same):

Area_small = 77 cm² 

3. Total shaded area

Shaded region is:

Shaded Area = Area of large semicircle + Area of small semicircle

= 77 + 21

= 98 cm²