With IPHost Network Monitor you can run simple snmp requests against a Cisco device in your network.
rsrbRingIndex
rsrb Ring Index
1.3.6.1.4.1.9.9.29.1.3.1.1.1
The configured ring number that uniquely identifies this network segment or ring within the bridged token ring network.
Back to CISCO-RSRB-MIB MIB page.
IPHost Network monitor allows you to monitor rsrbRingIndex on Cisco device via the SNMP protocol. Download IPHost Network Monitor (500 monitors for 30 days, 50 monitors free forever) to start monitoring Cisco switches right now.