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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 cm2
Area of circle = πr2
= × 7 × 7 = 22 × 7 = 154 cm2
Thus, the area of the circle outside the square
= Area of circle – Area of square = 154 – 98 = 56 cm2
Hence, the area of the required region is 56 cm2.