Question

find the area of the shaded portion in each of the following figures​

Answer 1

Answer:

8.4+0.49π(m^2)

Step-by-step explanation:

Merge the two semicircles, you get a circle or r=0.7m

πr^2 where r=0.7, you get 0.49π

1.4+0.5x2=2.4

3.5x2.4=8.4

8.4+0.49π is the answer, just add square metres and you got it

Answer 2

Answer:

Area of rectangle = 28 m × 26 m

= 728 m2

(i) Perimeter of the shaded position

= 2 × 28 + 2 × 26 – 4 × 20 + 2 × 22/7 × 10

= 56 + 52 – 80 + 440/7

= 108 – 80 + 62.85

= 170.85 – 80 = 90.85 m

(ii) Area of one corner (unshaded) = 1/4π × (10)2

= ¼ × (3.14)(100 m2)

= 314/4

= 78.5 m2

∴ Area of 4 corner (unshaded) = 78.5 × 4 = 314 m2

∴  Area of the shaded portion = [728 – 314] m2

= 414 m2