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Mathematics — Secondary School

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Circle (Euclidean geometry)

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Central and inscribed angles

Central and inscribed angles

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tagsmatematica, classe/seconda, topic/circonferenza-euclidea, moc

20 lug 20261 min read

One of the most elegant results in the geometry of the circle: an inscribed angle is always half of the central angle subtending the same arc. Here we state the theorem, prove it and derive a notable special case from it — the angle inscribed in a semicircle.

  • Central angle and inscribed angle
  • Proof of the central angle theorem
  • Angle inscribed in a semicircle

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