Question

find the area of shaded region​

Answer 1

Answer:

54.96 cm²

Step-by-step explanation:

(1) Find the area of the whole square:

Area = Length x Length

Area = 14 x 14 = 196 cm²

(2) Find the area of the centre piece:

The centre piece is made up of 4 semicircles and a square.

(2a) Find the radius:

4 radi = 14 - 3 - 3

4 radi = 8 cm

1 radius = 8 ÷ 4 = 2cm

(2b) Find the area of one semicircle:

area = 1/2 πr²

area = 1/2 π(2)²

area = 2π

(2c) find the area of the square:

area = (2 + 2) x (2 + 2)

area = 4 x 4

area = 16 cm²

(2d) Find the area of the whole centre piece (Taking π = 22/7):

area = 4 x 2π + 16 = 41.14 cm²

(3) Find the shaded region:

Shaded region = 196 - 41.14 = 154.96 cm²

Answer:  154.96 cm²