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

Given:

Radius of the circle = 7 cm

Diameter of the circle = 14 cm

Here, diagonal of square = 14 cm

∵ Side of a square =

⇒ Side = = 7√2 cm

⇒ Area of square = side × side

= 7√2 × 7√2

= 49 × 2 = 98 cm^{2}

Area of circle = πr^{2}

= × 7 × 7 = 22 × 7 = 154 cm^{2}

Thus, the area of the circle outside the square

= Area of circle – Area of square = 154 – 98 = 56 cm^{2}

__Hence, the area of the required region is 56 cm ^{2}.__

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