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.

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