In a circle, if two chords AB and CD are equal in length, what can be said about

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Question: In a circle, if two chords AB and CD are equal in length, what can be said about their distances from the center?

Options:

Correct Answer: They are equal

Solution:

If two chords are equal in length, they are equidistant from the center of the circle.

In a circle, if two chords AB and CD are equal in length, what can be said about their distances from the center?

In a circle, if two chords AB and CD are equal in length, what can be said about their distances from the center?

Step 1: Understand what a chord is. A chord is a straight line connecting two points on the circumference of a circle.
Step 2: Identify the center of the circle. The center is the point that is equidistant from all points on the circle.
Step 3: Recognize that if two chords (AB and CD) are equal in length, they have the same distance from the center of the circle.
Step 4: Visualize or draw the circle with the two chords AB and CD. Mark the center of the circle.
Step 5: Measure the distance from the center of the circle to each chord. Since the chords are equal in length, these distances will also be equal.
Step 6: Conclude that equal chords in a circle are always equidistant from the center.

Chord Length and Distance from Center – In a circle, equal-length chords are located at the same distance from the center.