Question

A circular Flower bed is surrounded by a path 4m wide. The perimeter of the flower bed is 66m. What is the area of this path?

Answer 1

hey here is ur answer......

Given that:-

Diameter of the flower bed(d) = 66 m

∴ Radius of the flower bed (r 1) = 33 m

 

So, the area of the flower bed (A1) = πr 1 2

= 3.14 x 33 x 33

= 3419.46 m2

Also the width of road is 4 m

∴ Radius of the flower bed with road (r 2) = (33 + 4) m

= 37 m

 

So the area of the flower bed with road (A2) = πr2 2

= 3.14 x 37 x 37

= 4298.66 m2

 

Hence the area of the road = (Area of the flower bed with road) – (Area of flower bed)

= A2 – A1

= 4298.66 - 3419.46 m2

= 879.20 m2

hope it helps u!!!