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Dominik [7]
4 years ago
8

Calculate the shaded area

Mathematics
1 answer:
Anton [14]4 years ago
7 0
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Find Radius :
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Radius of the semicircle = 10 ÷ 2 = 5cm

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Find Area of the semi circle :
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Area of the semi circle = 1/2 πr²
Area of the semi circle = 1/2 x π x (5)²
Area of the semi circle = 12.5π cm²

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Find Radius :
----------------------------------------------------------------
Radius of the inner circle = 5 ÷ 2 = 2.5 cm

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Find area of inner circle :
----------------------------------------------------------------
Area of the inner circle = πr²
Area of the inner circle = π x (2.5)²
Area of the inner circle = 6.25π

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Area of the shaded region :
----------------------------------------------------------------
Area of the shaded region = 12.5π - 6.25π
Area of the shaded region = 6.25π
Area of the shaded region = 19.63 cm²

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Answer: Area of the shaded region = 19.63 cm²
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Step-by-step explanation:

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