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


It is given in the question that,


Diameter of flower bed = 66 m


Radius of flower bed = = 33 m


Radius of flower bed and path together = 33 + 4 = 37 m


We know that,


Area of the circle = πr2


Area of flower bed and path together = 3.14 × 37 × 37


= 4298.66 m2


Area of flower bed = 3.14 × 33 × 33


= 3419.46 m2


Hence,


Area of path = Area of flower bed and path together - Area of flower bed


= 4298.66 – 3419.46


= 879.20 m2


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