Question

Pls answer this question

Answer 1

Answer:

154.86 cm²

Step-by-step explanation:

Find the area of the whole square:

Area of the square = 14 x 14 = 196 cm²

Find the area of the centre piece:

Centre piece is made up by 4 semicircles and a square.

Find the area of the 4 semicircles:

1 semicircle = 1/2 πr²

1 semicircle = 1/2 π (2)²

1 semicircle = 2π

4 semicircles = 4 x 2π = 8π

Find the area of the square:

Length = 14 - 3 - 3 - 2 - 2 = 4 cm

Area = 4 x 4 = 16cm²

Area of the centre piece = 16 + 8π = 41.14 cm²

Find the area of the shaded region:

Area of the shaded region = 196 - 41.14 = 154.86 cm²