Nature around Ringsted is great and gives you many opportunities for a cycling tour and some insight in the history at the same time.
The four cycling tours are ready to download or you can get a copy in the Tourist Information at Ringsted Library.
There are also other national routes to follow, i.e.:
The N6 (Korsør-Copenhagen) or
Munkevejen (a themed cycle trail signposted as Cycle Trail No. 88 – for more information)