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It has calculated the space well. It must be enough for its needs, but not excessively large so it cannot cope with the work. It will first make the spokes that radiate from the centre of the imagined circumference, and then join them with increasingly closer segments.
It has the wax in liquid form inside its abdomen and will extract it so that, when in contact with the air, it becomes an elastic, sticky and resistant material. It will build a barely visible mesh to trap insects.
But it cannot make mistakes with the dimensions. If the covered area is too small, it risks not catching enough food. If the area of the web exceeds the measurements, the spider may run out of material, weaken and die. Having the right measure is key.