arena - or patinoire
glace
A ring that you wear on your finger is "une bague".
glace an ice cream - une glace
the French word galce means 'ice cream' or 'ice' in English.
Curling, as an Olympic ice sport, is the same word in English and in French.
annulaire (masc.) j'ai mal à l'annulaire: my ring finger aches
Glacier can mean two things : a big mass of ice and snow which you can see in some mountains and that climbs down slopes little by little. or Someone who makes and/or sell ice-creams (the French word for ice-cream can be "glace")
"The ice" in English translates to "la glace" in French which means that it is feminine.
hockey sur glaceHockey sur glace
There is no equivalent name in French for sherbet, an intermediate between sorbet and ice-cream. The same word as for ice-cream would be used, "glace". Sorbet is exclusively reserved for ice cream that is made purely of fruit and sugar, with no dairy in it.
Ice cream is two words, and neither of them comes from Greek. Ice comes from Old Norse, and cream comes from Anglo-French.
sonner (verb) means "to ring" in French. Ex: Tu sonnes à la porte: you are ringing at the door.