find the area of shaded region
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❤see in the given pic 154/4cm^2
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shivanineha72000:
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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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