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In the adjoining figure, radius of circle is 3.4 cm and perimeter of sector P-ABC is 12.8 cm. Find A(P-ABC).

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In the adjoining figure, radius of circle is 3.4 cm and perimeter of sector P-ABC is 12.8 cm. Find A(P-ABC). 

Given: Radius (r) = 3.4 cm, 

perimeter of sector 12.8 cm 

To find: A(P-ABC)

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Perimeter of sector 

= Iength of arc ABC + AP + CP

∴ 12.8 = l + 3.4 + 3.4 

∴ 12.8 = l + 6.8 

∴ l = 12.8 – 6.8 = 6cm

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