Question

A catchment is in the form of a square with 10 km x 10 km size. Five raingange stations are installed in this catchment, out of which four raingauges are at corners and one at the centre of the catchment. The thiessen polygonal area represented by the raingauge kept at the centre of the catchment will be ?

• A. $12.5k{m}^2$
• B. $10k{m}^2$
• C. $18.5k{m}^2$
• D. $20k{m}^2$

Answer 1

The correct option is A $12.5k{m}^2$


For the given orientation of raingauges, Thiessen weightage of the 5th raingauge (at centre) will be 1/8

Then, the area represented by the 5th raingauge (Thiessen polygonal area) ;

$A_5=\frac{1}{8}\times (10km\times 10km)$

$=12.5k{m}^2$