Question

A circular flower bed is surrounded by a path 5 m wide the diameter of flower bed is 65m what is the area of the path

Answer 1

Given that:-

Diameter of the flower bed(d) = 66 m

∴ Radius of the flower bed (r1) = 33 m

 

So, the area of the flower bed (A1) = πr12

 = 3.14 × 33 × 33

 = 3419.46 m2

Also the width of road is 4 m

∴ Radius of the flower bed with road (r2) = (33 + 4) m

 = 37 m

 

So the area of the flower bed with road (A2) = πr22

 = 3.14 × 37 × 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

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