SECANT
Definition Of Secant
Secant is a straight line that intersects a curve at two or more points.
More About Secant
Secant of a circle crosses the circle only at two points.
The length of the secant of a circle is less than its diameter.
A chord of a circle is defined as a part or segment of the secant whose end points lie on the circle.
Video Examples: Geometry - Secants
Example of Secant
The line shown in the figure is intersecting the circle in two distinct points. So, the line is a secant of the circle.
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Solved Example on Secant
Ques: Identify the secant in the figure shown.
Choices:
D. None of the above
Correct Answer: C
Solution:
Step 1:The line that intersects the circle in exactly two points is called a secant.
Step 2: In the given figure, 
and 
are intersecting the circle in exactly two points.
Step 3: But is a line segment.
Step 4: Hence, is the secant.
Quick Summary
- A secant intersects a circle at two points.
- A chord is a segment of a secant with endpoints on the circle.
🍎 Teacher Insights
Use visual aids to demonstrate secants and their relationship to chords. Emphasize the difference between secants and tangents.🎓 Prerequisites
- Basic Geometry
- Lines and Angles
- Circles and their properties
Check Your Knowledge
Q1: Which of the following is a secant?
Frequently Asked Questions
Q: Is a chord a secant?
A: A chord is a line segment that is a part of a secant, with both endpoints on the circle.
Q: Can a secant intersect a circle at more than two points?
A: While the general definition allows for more intersections, when dealing with circles, a secant typically intersects at exactly two points.