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A 12km×12km nature reserve uses three rain gauges:
Show that the bisector of G2 and G3 is the line y=21x+2.25.
A complete Voronoi diagram is drawn of the nature reserve:
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Determine the point P where the three bisectors meet.
Hence estimate the rainfall at point P to two decimal places.
Calculate the area of each gauge’s Voronoi cell and hence estimate the mean rainfall over the whole reserve. Give your answer to one decimal place.
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