a circular flower bed is surrounded by path 4m wide the diameter of flower bed is 66m what is the area of this path
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Diameter of flower bed=66m
Radius of flower bed=66÷2=33m
Radius with path=33+4m=37m
Area of flower bed=2×
Radius of flower bed=66÷2=33m
Radius with path=33+4m=37m
Area of flower bed=2×
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Question
A circular flower bed is surrounded by a path 4m wide the diameter ofthe flower bed is 66m what is area of this path?
Answer
Perimeter of circular flower bed = =33m.
Radius of circular flower bed with 4m wide path (R) = 33+ 4
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 37m
Area of path = π R² - π r²
⠀⠀⠀⠀⠀⠀⠀⠀= π ( R² - r² )
⠀⠀⠀⠀⠀⠀⠀⠀= 3.14 ( 137 )² - (33))²
⠀⠀⠀⠀⠀⠀⠀⠀= 3.14 ( 1369 - 1089 )
⠀⠀⠀⠀⠀⠀⠀⠀= 3.14 ( 280 )
⠀⠀⠀⠀⠀⠀⠀⠀= 879.20 m²
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