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Winding Vine

Age 14 to 16 Short
Challenge Level

A pole is 28 metres high and has a constant circumference of 3 metres.

A vine has grown from the bottom to the top of the pole, winding around the pole 7 times.

How long is the vine?





This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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