Similarity in the MS Stairwell

Each day Mr. B walks by the stairs in the middle school. He was wondering if the circles in the stairwell are similar. And are they a dilation all from a common point? Read the instructions below to investigate.
1. Use the circle tool to construct circles at each of the hole openings. 2. Measure the circumference and area of each circle. Are the ratios of two circles' areas equal to the ratios of two circles' circumferences? 3. Are the circles a dilation from one COMMON point? How do you know?