29. In the given figure, a square of side
2√2 cm has been inscribed in a given circle.
Find the area of the shaded region.
[Use TI = 3.14.]
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Abcd is a square with side 2√2 cm and inscribed in a circle find the area of the shaded region π= 3.14
Diagonal of square = √((2√2)² + (2√2)²) = √ (8 + 8) = √16 = 4cm
Diameter of Circle = 4 cm
Radius of Circle = 4/2 = 2cm
Area of circle = π r² = 3.14 * (2)² = 12.56 cm²
Area of square = (2√2)² = 8 cm²
Area of circle - Area of square = 12.56 - 8 = 4.56 cm²
Area of one shaded portion = 4.56/4 = 1.14 cm²
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