Question

in fig. ABCD is a square with side2 root 2 inscribed in a circle .find the area of shaded region

​

Answer 1

Answer:

The area of the shaded region will be 4.56 cm²

Step-by-step explanation:

Given the side of the square = a = 2√2 = √8 cm

=> Area of the square = a² = 8 cm²

We know that the length of the diagonal of a square is given by,

d = a√2

=> d = √8 x √2 = √16 = 4 cm

Since the square is inscribed in a circle, hence the diagonal of the square will be the diameter of the circle,

=> radius = d/2 = 4/2 = 2 cm

Area of the circle = πr²

= 3.14 x 2²

= 12.56 cm²

Hence the area of the shaded region will be

Area of circle - Area of the square

= 12.56 - 8

= 4.56 cm²