Question

find the area of the shaded region of the given figure​

Answer 1

Answer:

Area of shaded region = Area of square − Area of two semicircles

Area of square ABCD =14×14 = 196cm

2

Area of two semicircles = Area of 1 complete circle =

7

22

×7×7 =154cm

2

∴ Area of shaded region = 196−154 =42 cm

2

Answer 2

Step-by-step explanation:

side of square = x

radius of semi circle= x/2

• x + x/2 + x/2= 42
• x=21

area of square= 21*21 = 441 cm²

• area of 4 semi circle = area of 2 circle = 2πr²
• 2π[21/2]²= 692.72 cm²

area of shaded region = 441+692.72 =1133.72 cm²