Math, asked by sowmiya35, 1 year ago

find the area of shaded region

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Answered by villageboy
5
❤see in the given pic 154/4cm^2
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Answered by Anonymous
2

Answer:

410.67 cm²


Step-by-step explanation:


Let the radius of the big circle be R .

Let the radius of the small circle be r .


Area of path of concentric circle is given by :

πR² - πr²

⇒ π ( R² - r² )


Area of shaded portion will be θ / 360° × π ( R² - r² )


θ = 360° - 40°

⇒ θ = 320° .


Area = 320° / 360° × π ( R² - r² )

⇒ 8 / 9 × 22/7 × ( 14² - 7² )

⇒ 8 / 9 × 22 / 7 × ( 196 - 49 )

⇒ 176 / 63 × 147

⇒ 176 / 3 × 7

⇒ 58.666 × 7

⇒ 410.6666


The area will be 410.67 cm²

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