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Question

Draw a circle of radius 4cm.

Draw any two of its chords.

Construct the perpendicular bisectors of these chords.

Where do they meet?


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Solution

  1. Locate any point O on the sheet .Now adjust the compasses up to 4cm and by setting the pointer of compasses at point O, turn the compasses slowly to draw the circle. This is the required circle of 4cm radius.

2. Take any two chords AB and CD in a circle.

3. By considering A and B as centres and a radius of more than half of AB,

Draw arcs on both sides of AB.

The arcs are intersecting each other at points E and F.

Join EF which is the perpendicular bisector of AB.

4. Again take C and D as centres and radius more than half of CD ,

Draw arcs on both sides of CD such that they are intersecting each other at points G, H.

Join GH which is the perpendicular bisector of CD

From the above-obtained diagram we observe that when EF and GH are extended they meet at the point O, which is the centre of circle


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