Perpendicular from centre bisect the chord

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Objectives

Understand perpendicular drawn from the centre of a circle to a chord bisects the chord

Estimated Time

20 minutes

Prerequisites/Instructions, prior preparations, if any

Knowledge about chord,perpendicular line

Materials/ Resources needed

Digital:Click here to open the file

Non-digital:pencil, paper, compass, ruler

Process (How to do the activity)


Download this geogebra file from this link.

Procedure:

Circle with centre 'A' and radius 'radius1' having a chord 'BC'. let AD be the perpendicular drawn from the centre of the circle to the chord BC.

  • Mark the angle ADC and angle ADB
  • join AB and AC ,Measure the distance
  • Measure the distance DC and BD, Will you get different measures?Are they Congruent?
  • What happens if you change the radius of the circle?Will the distance remains constant in the bisect chord?

Evaluation at the end of the activity

Circle with centre 'O'. Given Chord PQ = 12 cm. let 'OA' be the perpendicular drawn from centre of the circle to the chord PQ. Find the length of PA?

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