The velodrome and arena is a suitable venue for cultural events, exhibitions, product launches and conferences. It is able to accommodate up to 5,000 people (seated and standing) for events, and has fixed seating for 1,500 people.
The venue, which opened three months later than originally planned, offers a number of different meeting and hospitality rooms available for private hire and a café and bar on site.
A council spokeswoman said a 30-day showcase would "unwrap" the arena to the public.
Councillor Alison Martin, cabinet member for leisure and culture, said: "We’re offering a brilliant opportunity to see the arena in all its glory, try first-hand what it has to offer. It will bring so many benefits to Derby and to the region."
The venue was officially opened yesterday by Dame Sarah Storey, Britain’s most decorated female paralympian, and Derby MP Margaret Beckett.
Team Sky cycling boss Sir Dave Brailsford, who lives in Derbyshire, called it a "superb facility".
As well as the velodrome, the venue also houses a gym and 12-court sports hall.
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