Chord length and distance for centre of the circle

Objectives

Understand the relation between chord length and distance from the center

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, polygons

Materials/ Resources needed

• Digital : Computer, geogebra application, projector.
• Non digital : Worksheet and pencil, compass, strings
• Geogebra files : Chord length and perpendicular distance.ggb

Process (How to do the activity)

• For a chord in a circle construct a perpendicular through the center of the circle.
• Move chord closer to center of the circle, note the perpendicular distance in the worksheet.
• What can you notice between chord length and perpendicular distance? When is the perpendicular distance equal to zero?

Observation	Chord 1 Length	Distance from centre	Chord 2 Length	Distance from centre