Question

A circular flower bed is surrounded by a path of 4m wide. The diameter of flower bed is 66m . What is

area of the path.​

Answer 1

Answer:

Diameter of the circular flower bed = 66 m

Therefore Radius of circular flower bed (r )= 66/2 = 33 m

Therefore Radius of circular flower bed with 4 m wide path (R) = 33 + 4 = 37 m According to the question,

Area of path = Area of bigger circle – Area of smaller circle

= πR² – πr² = π(R² – r²)

= π (37)² – (33)²

= 3.14[ (37+33) (37–33) ]

= 3.14 x 70 x 4

= 879.20m²

Answer 2

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 = $\large \sf \cancel \frac{66}{2}$=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