CHORD
Definition Of Chord
Chord is a line segment on the interior of a circle with both its endpoints lying on the circle.
Example of Chord
In the circle shown, PQ and AB are chords with their endpoints P, Q and A, B respectively lying on the circle.
Video Examples: Midpoint of a Chord
Solved Example on Chord
Ques: Find the length of the longest chord of the circle with radius 5 cm.
Choices:
A. 10 cm
B. 5 cm
C. 1 cm
D. 2 cm
Correct Answer: A
Solution:
Step 1: The longest chord of a circle is its diameter.
Step 2: So, the length of the longest chord is 10 cm.
Quick Summary
- A chord is a line segment within a circle.
- Both endpoints of a chord lie on the circle's circumference.
- The longest chord of a circle is its diameter.
🍎 Teacher Insights
Use visual aids and real-world examples (e.g., pizza slices, wheels) to illustrate the concept of chords. Emphasize the difference between chords, diameters, and secants.🎓 Prerequisites
- Basic Geometry
- Line Segments
- Circles
- Radius
- Diameter
Check Your Knowledge
Q1: What is the longest chord of a circle called?
Q2: Which of the following is NOT a chord of a circle?
Frequently Asked Questions
Q: What is the relationship between a chord and a diameter?
A: A diameter is a special type of chord that passes through the center of the circle. It is the longest possible chord in a circle.
Q: Can a chord be outside the circle?
A: No, a chord is a line segment *within* the circle, with both endpoints on the circle's circumference.