There are many opportunities for recreation offered by the territory, in the field of naturalistic and sports architecture.
http://www.iluoghidelsilenzio.it/castello-di-gualdo-cattaneo-pg/
http://www.turismogualdocattaneo.it/ita/15/il-borgo-dei-castelli/
https://www.umbriatourism.it/it_IT/-/gualdo-cattaneo-il-borgo-dei-castelli
For those who love horsebackriding the ASD CIST riding school in San Terenziano, offers horsebackriding in the woods and in the nearby countryside, riding lessons for adults and children.
https://www.facebook.com/pg/ASD-CIST-489485097805620/about/?ref=page_internal
https://www.turismoequestre.com/iscritti/cist-san-terenziano-sergio-farroni.php
There are many associations that offer trekking, biking, etc.
https://www.umbriatourism.it/it_IT/trekking
https://www.vacanzattiva.com/it/pedalare/antichi-borghi-fra-todi-e-i-monti-martani.html