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26 February, 07:09

The cross section of seven circular metal metal rods bound together by a strap is shown. if the the diameter of each rod is 1.8cm, and 2.5 cm of strap is required to fasten the strap how long is the strap?

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  1. 26 February, 09:28
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    Assuming the seven rods are arranged such that the 7th rod is surrounded by the other 6, then the strap must have a length equalling 2.5 cm + 6 * 1.8 cm + 2 * pi * (1.8/2) ^2 cm which is

    13.3 + pi * 1.62 cm or approximately 18.4 cm to 1 decimal place.
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