arr134 arr134
  • 13-07-2017
  • Mathematics
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What is the relationship between angle BAC and angle BOC?

What is the relationship between angle BAC and angle BOC class=

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barnuts
barnuts barnuts
  • 26-07-2017

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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