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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