Question

In a circle of radius 7 cm, a square ABCD is inscribed. Find the area of the circle which is outside the square.

Answer 1

Let the diagonal of the square be d.

We know that if a circle circumscribes a square, then the diameter of the circle is equal to the diagonal of the square.

∴ d = 2 × 7 = 14 cm

Now,

Area of required region = Area of circle - Area of square

`=pi"r"^2 - 1/2d^2`

`= 22/7 xx(7)^2 - 1/2xx(14)^2`

= 56 cm²

Hence, the required area is 56 cm² .