The chord of the circle and its distance from the centre of the circle will be as shown in the figure above. M is the midpoint of the chord. BC is the radius  of the circle.

 

Consider Rt Triangle BMC. Using Pythagoras theorem, we will have

 BC2 = CM2 + BM2

          =32 + 42

                = 25

Thus BC=5ft.   Diameter of the circle will be 10ft.

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