As a detective trying to solve the mystery of the crossword clue ‘Olympics venue’, I initially began by thinking of locations that the Olympics were held in, such as different cities or countries. However, I soon realized that the word ‘venue’ suggested that the answer may be a generic term that could be applied to any place where the Olympics were held. I started to brainstorm other words that could fit this criteria, and ‘arena’ soon came to mind. An arena is a large, enclosed space used for public events such as sports, concerts, or shows. It’s a term that can be used to describe any location where the Olympics were held since various sports at the Olympics are held in different arenas. This line of reasoning led me to confidently fill in the answer ‘ARENA’ and solve the mystery of the crossword clue.