Depends - I did once go to a nude beach not knowing it was a nude beach - and there were actually signs there saying no nude sunbathing - although it ended up being about 98% nudies.
We were actually going there to see these natural clay baths and bath in them - we stayed and bathed in the clay sat in the sun to dry off and then washed the clay in the ocean. We stayed in bathing suits - it was me, my boyfriend at the time and another couple.
If I was with my children - don't know.