# Diameters and Chords

- Author:
- John Rodgers

## Comparing Diameters and Chords

- Construct a circle.
- Construct a line through the centre of the circle.
- Construct the intersection points of the line and the circle.
- Construct the segment between the two intersection points.
- Hide the line through the centre.
- Construct a point on the circle.
- Construct a line parallel to the diameter passing through the point on the circle.
- Construct the intersections of the parallel line and the circle.
- Construct a segment between these intersections. This is a chord.
- Measure the chord and the diameter. Move both around. What is always true about the length of the chord and the diameter?

## The Truth About Chords and Diameters.

What is always true about the length of a chord compared to the length of a diameter?