What is the relationship between angle bac and angle boc?

In this problem, an angle like angle BAC where the vertices like on the circle itself is called the inscribed angle.

While angle BOC, where O is the center of the circle, is called the central angle.

Using  Proposition III.20 from Euclid's Elements, this is called the Inscribed Angle Theorem  wherein:

∠BOC = 2∠BAC

or ∠BOC / 2 = ∠BAC

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