Inscribed Angle of a Circle

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Questions and Answers

What is the definition of an inscribed angle of a circle?

  • An angle formed by a tangent and a chord of the circle
  • An angle whose vertex is located outside the circle
  • An angle formed by two chords of the circle (correct)
  • An angle formed by a radius and a tangent of the circle

Which of the following is true about the measure of an inscribed angle in a circle?

  • It is always less than 90 degrees
  • It is always equal to 90 degrees
  • It can vary based on the position of the chords (correct)
  • It is always greater than 90 degrees

What relationship exists between the intercepted arc and the measure of an inscribed angle of a circle?

  • The intercepted arc is always equal to the measure of the inscribed angle
  • The intercepted arc is always double the measure of the inscribed angle (correct)
  • The intercepted arc is always half the measure of the inscribed angle
  • The intercepted arc and inscribed angle have no specific relationship

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