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Q.


A circular flower bed is surrounded by a path 4 m wide. The diameter of the flowerbed is 66 m. The area of the path is ____ m².

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Detailed Solution

A circular flower bed is surrounded by a path 4 m wide. The diameter of the flowerbed is 66 m. The area of the path is 879.20 m².
Given a circular flower bed is surrounded by a path 4 m wide. The diameter of the flowerbed is 66 m.
Radius of flower bed = 66 2  m
Area of the flower bed excluding the path is,
= πr²
=3.14× 66 2 2 =3.14×33×33 =3419.46  m 2
Radius including path = 33 + 4 = 37m.
Area of the flower bed including the path is,
= πr²
=3.14× (37) 2 =3.14×37×37 =4298.66  m 2
Area of the path is,
= area of flower bed including path – area of flower bed excluding path
= 4298.66 - 3419.46
= 879.20 m 2
Area of path is 879.20 m².
 
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