[QUOTE 2091604, member: 9609"]
As for proving it right - I couldn't work out a formula so I solved it in excel - goal seek wouldn't work as there was two variables - so I made my own goal seeker in visual basics - see below
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Glad to help - it reminds me of the slightly weird question about circumferences:
If you had a rope going right round the world at ground level (assume perfectly spherical), it would be 40,000 km long.
If you wanted to elevate the rope 1m above the ground all the way round, how much longer would you need to make the rope ?