Naval Petty Officer hat badge with black felt, machine embroidered with metallic thread. 
Dimensions:4 cm x 6.8 cm (1 1/2"" x 3 5/8"") 

Hand embroidered Navy Junior NCO  hat badge with gold bullion wire.
Dimensions: 7 cm x 4.5 cm (2 3/4"" x 1 3/4"")

Hand embroidered Navy Senior NCO- Chief Petty Officer hat badge with gold bullion wire.
Dimensions:6.5 cm x 5 cm (2 5/8"" x 2"") 

Overall dimensions are 6" x 5"

4 1/2" x 4 1/4"

3 1/2" x 2 3/4"

11/4" x 11/4"

50mm diameter