What makes you think its 2-3 feet thick? Its highly unlikely unless it was the foundation for a bridge or an air-raid shelter?? Are you sure the edge you can see is not a downstand/ ringbeam at the edge?
If it really is 2 foot thick it will almost ceratinly be reinforced so a hand held breaker will be useless. As Nige said a digger with rock breaker is your best bet then you can use the digger to load it into a skip too if needed. If its reinforced and 2 foot thick a micro digger may struggle, how wide is your access?