Hi, I don't know if the answers given are wrong or I careless, the answer I counted is 0.78 cm
1. radius=3.1cm, OQ=radius, OQ=3.1cm
2. QS=6cm, R is the midpoint of QS, thus RQ=3cm
3. Given that angle OQS=90 degree, which means that ORQ=90 degree
4. By using Pythagoras theorem, OR²=3.1²-3²
OR=0.78 cm
Hope my solutions can help you!