Pattern size is based on working with a 3mm crochet hook and double knit cotton yarn, please note that using a smaller or bigger crochet hook, will change the final size of your crochet bucket hat.

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Worked in the round

Smiley Face mall square:
6 x rounds increments op 10 sts per round of half double crochet stitches
3.5 inches / 9 cm square

Brim
3 x rounds of 1dc stitch in each st + 1 x round of 1 hdc stitch in each st
2 inches / 5 cm

Hat crown - Diameter
8 x rounds of mixed dc & hdc rounds - see pattern instructions for more
6.75 inches / 16.5 cm