A square is inscribed a circle whose perimeter is 32 cm what is the area of shaded region?
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Given : A square is inscribed a circle whose perimeter is 32 cm
To Find : the area of shaded region?
Solution:
Perimeter of Square = 4 * side
=> 32 = 4 * side
=> side = 8 cm
Area of Square = side² = 8² = 64 cm²
Diagonal = √8² + 8² = 8√2 cm
Diagonal = Diameter of circle = 8√2 cm
Radius of circle = Diameter /2 = 8√2 / 2 = 4√2 cm
Area of circle = πr²
= π ( 4√2)²
= 32π
π = 3.14
= 100.48 cm²
Area of shaded region = 100.48 - 64 = 36.48 cm²
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