buttonrim
nounUK /ˈbʌtənrɪm/
US /ˈbʌtənrɪm/
The edge around a button that keeps it strong and neat.
She sewed the button carefully so the buttonrim would not fray.
OTHER MEANINGS
2. A raised ring around a buttonhole that protects the fabric.
The tailor reinforced the buttonrim to stop the cloth from tearing.
3. The circular border on a badge or pin.
The old badge had a gold buttonrim that caught the light.
4. A decorative trim shaped like a row of small buttons.
The cushion was finished with a soft buttonrim along its seam.