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Central and inscribed angles

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"Use definitions, properties, and theorems relating to circles and parts of circles such as radii, diameters, tangents, angles, arc lengths, and sector areas to solve problems."

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"Use definitions, properties, and theorems relating to circles and parts of circles such as radii, diameters, tangents, angles, arc lengths, and sector areas to solve problems."

What you'll learn

  1. Identify central angles and determine that a central angle equals the measure of its intercepted arc
  2. Apply the inscribed angle theorem: an inscribed angle equals half the measure of its intercepted arc
  3. Use the corollary that inscribed angles subtending the same arc are congruent
  4. Recognize and apply the theorem that an inscribed angle in a semicircle (subtending a diameter) is 90 degrees

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Central and inscribed angles

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