Here are the solutions to the questions.
4.1 Show that C^2=D^1.
Step 1: Use the given information that AC=AO and O is the center.
Since O is the center, OA=OC (radii).
Given AC=AO, it follows that AC=AO=OC.
Therefore, △AOC is an equilateral triangle.
This means all its angles are 60∘.
∠OAC=∠OCA=∠AOC=60∘
From the diagram, C^1=∠OCA, so C^1=60∘.