In this section of MATHguide, you will learn a variety of relationships within a circle that involve chords and arcs. Here are the topics within this page:

• Secants
• Secant-Secant Partial Lengths
• Secant-Secant Arcs and Angles
• Instructional Videos
• Interactive Quizzes
• Activities
• Related Lessons

    Secants are lines that intersect circles more than once. Here is what a secant line looks like.

    Learn more about other terminology related to circles in this MATHguide lesson.

    esson: Circle Terminology

    The sections that follow will address various properties that involve secant lines.

    Within this section, we will explore the relationships of lengths between secant lines that intersect a circle and they also intersect each other outside the circle. Examine this diagram to view intersecting secant lines.

    This video will explain the relationship and demonstrate how to use it on problems.

    ideo: Secant-Secant Partial Lengths Relationship

    We will now look at the relationship between an angle and two arcs within the interior of that angle. Examine this diagram to view intersecting secant lines and the arcs it intercepts.

    This video will explain the relationship and demonstrate how to use it on problems.

    ideo: Secant-Secant Arcs and Angle Relationship
    ideo: Secants, Arcs, and Angles

    View the following instructional videos.

    ideo: Secant-Secant Partial Lengths Relationship
    ideo: Secant-Secant Arcs and Angle Relationship

    This quiz will check for your understanding.

    ideo: Secants, Arcs, and Angles

    There are no activities at this time.

    Here are lessons that are related to chords.

    esson: Circle Terminology
    esson: Central Angles
    esson: Inscribed Angles
    esson: Chord-Chord Relationships