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QGIS 2.6 Buffering issue

I'm running QGIS 2.6 on a Mac, and trying to create buffers around a point shapefile. The process seems to work: (Vector>Geoprocessing Tools> Buffer(s), I select my input layer, leave the segments at 5, and set the distance, create a new output shapefile in the same folder as the input layer, and set the new layer to appear.

A layer IS created, but it's an ovoid ellipse that is massively too large - when I set it for '500 metres', it came out covering most of Eurasia and Africa! I tested the settings, and to at '0.01 metres', it produced an ellipse measuring approx 1200x1450 metres.

What is causing this, and how do I fix it? I wonder if it's related to the co-ordinate system I'm using, but both the project and the input shapefile are using WGS84.

Any help gratefully received! Adam