An exocyclic group is always shown outside the ring structure, take for instance the exocyclic double bond of the former molecule. Isotoluenes are a prominent class of compounds with exocyclic double bonds.
The placement of double bonds in many alicyclic compounds can be predicted with Bredt's rule.
^Christmann, M (2010). "Otto Wallach: Founder of Terpene Chemistry and Nobel Laureate 1910". Angewandte Chemie International Edition. 49 (50): 9580–9586. doi:10.1002/anie.201003155. PMID21110354.