Grumpy:
In my experience, whatever the calcs come up with go the next cable size up. Demand tends to grow like Topsy.
Kettle and lights? Next there'll be heating . . . .
SScho:
If it's only a 20A supply then you wouldn't need anything bigger than 6mm² to carry that, a 16mm² is properly overkill (that's including volt drop and power requirements etc.)
I'd take it from a 20A RCBO in the existing CU on a bit of 6mm² SWA (unless it's already on an RCD incorporated into the existing CU. I'd make sure it's going onto an RCD/RCBO just to be safer, but an MCB is fine as long as all requirements are met and the board in the shed incorporates additional protection in case anyone decides to use a radio in the garden or a lawnmower etc.)
Reason I'd go for a 6mm² is that it has a capacity of 53A (ref method D) and you'd have a volt drop of only about 4%. You could use a 10m² but I think it's overkill for what you're suggesting will be required.
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