Question

Find the area of Shaded region...❓​

Answer 1

Answer:

154.84 cm²

Step-by-step explanation:

First, find the area of square ABCD

area of square = side x side

=14 x 14 = 196 cm²

Now,

area of shaded region = area of ABCD - area of small square - 4 x area of semi-circles

Side of small square = 4 cm

Area of small square = 4 x 4 = 16 cm²

Area of 4 semi-circles =

$4(\frac{\pi }{2} r^{2} )\\ 4(0.5) (3.14)(2)^{2} \\8(3.14) = 25.12 cm^{2}$

Shaded region's area = $196-16-25.16\\=154.84 cm^{2}$