Weinvestigatetheareadistributionofclusters(loops)inthehoneycombO(n)loopmodelbymeansofthewormalgorithmwithn=0.5,1,1.5,and2.Atthecriticalpoint,thenumberofclusters,whoseenclosedareaisgreaterthanA,isproportionaltoA-1withaproportionalityconstantC.WeconfirmnumericallythatCisuniversal,anditsvalueagreeswellwiththepredictionsbasedontheCoulombgasmethod.