how many inches around in a 10 plate

i am making a hat, the band is 23 inches around. what size circle do i need for the top of the hat?
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?????????? yu wanna make a serkel with rim-leng=23 inches ???? rim-leng=2*pi*radius, so radius=23/(2*pi)=11.5/pi... rad=11.5/3.1415926538... =3.660563695 inch or bout 3.66 inch or bout 3 & 2/3 but tape gage dont hav thirds, so tri 3 & 11/16
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