Question

Find the shaded region....​

Answer 1

Answer:

56 cm^2

Step-by-step explanation:

√2 × side of square = 14

side = 14/√2 = 14/√2 * √2/√2 = 7√2

area of square= (7√2)^2 = 98 cm^2

diameter of circle = diagonal of square

2r = 14 => r = 7

area of shaded region

= 22/7 * 7^2 - 98 = 154 - 98 = 56 cm^2

Answer 2

Answer:-

Given:

Diagonal of a square = 14 cm

And , diameter of the circle = 14 cm

Radius of the circle = d/2 = 14/2

Radius of the circle = 7 cm.

We know that, Area of a circle = πr²

Area of the circle = 22/7 * (7)²

Area of the circle = 22*7 = 154 cm².

If we assume that , the diagonal divides the square into two right angled triangles then ,

(14)² = (Side)² + (Side)²

196 = 2(Side)²

(Side)² = 196/2

(Side)² = 98

We know that, area of a square = (Side)²

Hence,

Area of the square = 98 cm².

Now,

Area of the shaded region = Area of the circle - Area of the square

Area of the shaded region = (154 - 98) cm²

Area of the shaded region = 56 cm².