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I am using QGIS to observe and analyse spatial distribution of earthquakes in Western Australia. I want to measure polygon areas, and create buffers, for which I need to use a projected coordinate system.

What projected coordinate system should I use for Western Australia?

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If you're using a small area, you can use one of the MGA zones:

MGA Zones of Australia

The CRS for these is EPSG:283XX where XX is one of the numbers.

It sounds like you want to cover all of Western Australia, though, so you probably want to use the Australian Albers, which is EPSG:3577.

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