Calculate the area of the shaded region shown below:
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Answer:
Given that ;
Area of the Shaded Region ( A ) = ?
Area of the Shaded Region
= Area of the Square - Area of the Circle
Square :
Side of the Square ( s ) = 10cm
Area of the Square ( A ) = a²
A = 10 × 10
A = 100cm²
Hence ;
Area of the Square ( A ) = 100cm²
Circle :
Radius of the Circle ( r ) = 3.5cm
Area of the Circle ( A ) = π r²
A = 3.14 × 3.5 × 3.5
A = 38.465 cm²
Hence ;
Area of the Circle ( A ) = 38.465 cm²
Area of the Shaded Region :
Area of the Square - Circle
100 cm² - 38.465 cm²
61.535 cm²
Hence ;
Area of the Shaded Region = 61.535 cm²
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