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1. 2 minor arcs

2. a major arcs
3. a semicircle
4. a chord (not a diameter)
5. a inscribed angle

1 Answer

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Final answer:

The student's question pertains to geometric definitions of features related to circles, such as minor and major arcs, semicircles, chords, and inscribed angles, as well as the radius of curvature and rotation angle.

Step-by-step explanation:

The terms mentioned relate to geometry, specifically to the features of circles. We have the following definitions:

  • Minor arcs: A minor arc is an arc that is smaller than a semicircle. It represents a section of the circumference of a circle between two points.
  • Major arcs: A major arc is an arc that is larger than a semicircle. It is the longer arc connecting two points on the circumference of a circle.
  • Semicircle: A semicircle is half of a circle, formed by cutting a circle along a diameter. It is a 180-degree arc.
  • Chord: In a circle, a chord is a line segment with both endpoints on the circle. A chord that is not a diameter does not pass through the center.
  • Inscribed angle: An inscribed angle is an angle formed by two chords in a circle that have a common endpoint on the circle.

The radius of curvature is the radius of a circle that an arc belongs to, and the rotation angle is the angle subtended by the arc at the center of the circle. For example, if you rotate a radius of a circle to create an arc, the angle of rotation in radians is equal to the arc length (As) divided by the radius (r).

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