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How do you split a polygon into circles?

I’m fairly new to QGIS, so I hope this question is not too basic.

I have a polygon that I need to split up into circles. I have the following requirements:

  1. I must be able to specify the radius for these circles, for example 2 km, so that they’re all the same size.

  2. The circles may overlap, but should do so as little as possible.

  3. Together the circles must cover the entire polygon, and it’s preferred that they cover as little of the area outside the polygon as possible.

Is there a way of doing this?

Thanks in advance!