Q:

shaded region help please

Accepted Solution

A:
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Radius of the whole circle :
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Radius of the whole circle = (4÷2) + 2
Radius of the whole circle = 4

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Area of the whole circle :
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Area of the whole circle = πr²
Area of the whole circle= π(4)²
Area of the whole circle= 16π cm²

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Radius of the inner unshaded circle :
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Radius of the inner unshaded circle = 4 ÷ 2
Radius of the inner unshaded circle= 2

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Area of the inner unshaded circle :
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Area of the inner unshaded circle = πr²
Area of the inner unshaded circle= π(2)²
Area of the inner unshaded circle = 4π m² 


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Area of the shaded region :
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Area of the shaded region = 16π - 4π
Area of the shaded region = = 12π or 37.70 m² (nearest hundredth)

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Answer: 37.70m²
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