



 
Hi Frank, Do you know anything about the chords? From what you sent there is not enough information to determine the radius.
Draw a circle with a diameter of more than 16 cm. Mark a point $P$ on the circumference of the circle. Using a ruler find a point $Q$ on the circumference of the circle that is 16 cm from $P.$ Join $P$ and $Q.$ Mark a new point $R$ on the circumference of the circle and using a ruler find a point $S$ on the circumference of the circle that is 14 cm from $R.$ Join $R$ and $S.$ You now have a chord of length 16 cm and another of length 14 cm. You can do this on any circle with a diameter of more than 16 cm (radius of 8 cm). Thus the fact that there is a chord of length 16 cm and a chord of length 14 cm only tells you that the radius is more than 8 cm. I hope this helps, 



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