GATE CE 2017 Set 2 — Question 47
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Water Resources Engineering → Hydrology & Precipitation → Precipitation
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Question
A catchment is idealized as a square. It has five rain gauges, one at each corner and one at the center, as shown in the figure.
During a month, the precipitation at these gauges is measured as , , , and . The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is _______________

Correct answer
286.9 to 287.9
Solution
In a square catchment with gauges at four corners and one at the center, the Thiessen polygon for the center gauge () covers exactly half of the total area (). The remaining area is divided equally among the four corner gauges ().Average precipitation using Thiessen polygon method:
Rounding to one decimal place, we get .
Rounding to one decimal place, we get .
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