Okay, so I asked my son, who lives and breathes math and he gave a good explanation which I hope helps. He got his math genes from my dad and my hubby, not from me!!
He wrote:
If I understand the problem right, the angles on each side of the bottom wedge should be about 4.8 degrees, meaning both angles together should take up about 9.6 degrees of a full 360 degree circle. Because of the very small angle of the wedge, it would take about 37.5 of these wedges to make a full circle, if I did everything right. Pictures and math are attached
