I finished knitting a round dish cloth this evening using cotton yarn. It's the first time I've made a round one so it's a bit rough (the bottom looks a bit funky) but I found it fast and easy. Hopefully it will turn out better next time.
Cast on 16 stitches.
Knit one row
You will make eight wedges. Here's the pattern for each wedge:
Row 1: knit to last stitch (leave last stitch unworked), turn.
Row 2 and all even rows: knit.
Row 3: knit to last 2 stitches, turn.
Row 5: knit to last 3 stitches, turn.
Row 7: knit to last 4 stitches, turn.
Row 9: knit to last 5 stitches, turn.
Row 11: knit to last 6 stitches, turn.
Row 13: knit to last 7 stitches, turn.
Row 15: knit to last 8 stitches, turn.
Row 17: knit.
Row 18: knit (except on row 18 of the final/eighth wedge, which you’ll bind off instead).
Repeat rows 1 – 18 seven more times.
Finish with mattress stitch from outside of circle to inside. Cinch up the inner circle. Weave in ends.