Chords, Segments, Arcs, and Sectors – Parts of a Circle

This lecture explains the key components of a circle: chords, segments, arcs, and sectors.

Chords

• Definition: A chord is a straight line connecting two points on the circumference of a circle.
• Function: Splits the circle into two parts.

Segments

• Definition: The parts into which a chord divides a circle.
• Types of Segments:
  • Minor Segment: Smaller part of the circle.
  • Major Segment: Larger part of the circle.

Arcs

• Definition: A section of the circumference of a circle.
• Types of Arcs:
  • Minor Arc: Smaller section between two points on the circumference.
  • Major Arc: Larger section between two points on the circumference.

Sectors

• Definition: A section of a circle, similar to a slice of pizza or cake.
• Components:
  • Involves two radii going from the center to the circumference, connected by an arc.
• Types of Sectors:
  • Minor Sector: Bounded by two radii and the minor arc.
  • Major Sector: Bounded by the same two radii and the major arc.

Summary

• Two Ways to Cut a Circle:
  • With a Chord: Results in a minor segment and a major segment.
  • With Radii (Sectors): Results in a minor sector and a major sector.
• Arcs in Both Cases:
  • A minor arc and a major arc are formed in both instances.

Practice

• For further practice, questions related to these concepts are available on the website linked in the video.