Question

In the fig. square of diagonal 8cm is inscribed in a circle. Find the area of shaded region.

Answer 1

i hope this will usful to u

Answer 2

Area of Shaded Part is 18.286 cm²

Step-by-step explanation:

Let s be the side of Square

∴ The Diameter of a circle is equal to Diagonal of the square = 8 cm

Now in Right-angled  ΔABC,

(AC)² = (AB)² + (BC)² (By Pythagoras theorem)

∴ (8)² = a² +a²

⇒ 64= 2a²

⇒ a²= 32

So, Area of square = a²= 32 cm²

∴ Radius of circle = Diameter/2 = 4 cm

∴ Area of circle = πr² = π(4)² = 16 cm²

Now, Area of the shaded region = Area of circular part – Area of square

Area of the shaded part = 16π – 32

= 16 × (22/7) – 32

= 128/7

= 18.286 cm²

Area of Shaded Part is 18.286 cm²