Question

a circular flower bed is surrounded by a path 4 metre wide the diameter of the flower bed is 66 metres what is the area of this path

Answer 1

radius of the bed = 66/2 = 33 m
radius of the bed including path = 33 +4 =37 m
now, area of path = π( 37² -33²)
                             = π×4×70
                             =880 m²

Answer 2

For flower bed,                             For flower bed including path
  Radius = diameter / 2                           Radius = 33+ 4  
              = 33 m                                                  = 37

Area of path = Area of flower bed including path - Area of flower bed
                    = (22/7*37*37)  -  (22/7*33*33)
                    = 30118/7  -   23958
                    = 6160/7
                    = 880
             So, area of path = 880m²