Lawn, patios, beds - positive/negative space

Hi,
I don't know the proper wording for this hence the odd title! I am redesigning my back garden and know functionally what I want and location of the various parts. However I am trying to work out the shapes.
The plan is to have a central lawn, a large patio near the house, a small patio in the far corner, then lots of planting (plus a couple of paths). I am hoping for a design based on circles (or sections of circles) but if it it doesn't work then doing arc and tangent or diagonal instead.
In a circular design not everything can be circles so which parts (of lawn, patio, beds) are chosen to be the 'positive space' (the whole circles) and which are chosen to be the 'negative space' (bits around the circles)? I would assume lawn as the main dominant circle and beds as the bits around but what about the patio? Small far corner patio will probably be a small circle intersecting the lawn (so patio becomes more like a semicircle) but I don't know whether to do the big patio as a circle (or half, or quarter circle) or whether it can be a more variable shape based on intersecting with everything else.
Sorry, no drawings or photos yet, I'm just getting my head round the concepts for now.
Any suggestions?
I don't know the proper wording for this hence the odd title! I am redesigning my back garden and know functionally what I want and location of the various parts. However I am trying to work out the shapes.
The plan is to have a central lawn, a large patio near the house, a small patio in the far corner, then lots of planting (plus a couple of paths). I am hoping for a design based on circles (or sections of circles) but if it it doesn't work then doing arc and tangent or diagonal instead.
In a circular design not everything can be circles so which parts (of lawn, patio, beds) are chosen to be the 'positive space' (the whole circles) and which are chosen to be the 'negative space' (bits around the circles)? I would assume lawn as the main dominant circle and beds as the bits around but what about the patio? Small far corner patio will probably be a small circle intersecting the lawn (so patio becomes more like a semicircle) but I don't know whether to do the big patio as a circle (or half, or quarter circle) or whether it can be a more variable shape based on intersecting with everything else.
Sorry, no drawings or photos yet, I'm just getting my head round the concepts for now.
Any suggestions?
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For your big patio, you could just take a circular ‘negative’ bite out of it, or have a ‘positive’ semi-circular bit protruding, either way if it mimics the arc of a nearby bed or lawn that may be enough to help tie the theme together. If negative, that’s an in-ground planting opportunity for a specimen tree or shrub, or if positive a place for a statement pot or garden sculpture..
Try drawing your overall garden shape to scale and play around with shapes until you achieve something you are happy with.
Here is the aerial view of the back garden. Some things have changed or are changing but it helps show the shape. It is about 11m wide and 15-16.5m long (sloping back fence). Level except for current patio area is about a foot lower than current lawn level.
Side extension is hopefully going to happen. If so, then shed will be removed and a new long shallow shed built alongside the neighbour garage (not as close to the house but ending at a similar point down the garden, about half the width of current shed). There would be a pathway down the side of the extension for access.
Large tree staying, I have various young trees, shrubs, cordons and climbers near/on bottom and side fences and there is a mature beech hedge on side fence under large tree. The round blob tree near patio has gone.
I want less patio/hard standing, less lawn and lots more planting space. I don't want the existing front to back rectangle style as he garden currently looks a lot shorter than it is as the lines all lead front to back. Circles, arc and tangent or diagonal style seem like they would suit better.
I just tried drawing up ideas in Paint but it is far too inaccurate. I have had more luck previously marking and measuring in the garden. Somewhere I have scale drawings on paper so I probably need to try more with those now. The general plan is patio near house, lawn in centre, thick planting around the edges, small patio bottom left corner with a path around the left edge of lawn to join the two patios. There will also need to be some hardstanding for accessing the new shed.
So far the lawn is fine under the big tree (stays short and daisies and little purple things flower nicely). This photo was taken around the middle of the day in late summer I think.
I think I have been working on an assumption that the lawn has to be pretty large to fit in the scale of the garden but it is interesting to see your picture and think it could be smaller and maybe a secret path (and den for my child!) through the biggest planting area.
We haven't used a outdoor table yet as we have never had one. But I would like to have one on the main patio. I was thinking just chairs on the little patio but as you say, it is worth planning carefully.
I too would offset the not to large lawn and have it in a sunny area and have the secondary patio more shaded in a quiet corner as a counterpoint your big sunny patio, but it’s all personal preference..
My ‘something like this’ would be green for lawn, beige for shady patio and paths, half brown circle planting area cutting into the main patio then the rest planting:
@Athelas has a very accomplished squarish garden incorporating circles and straight lines and may have some further suggestions?