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Lab Manual: Centre of a Circle | Lab Manuals for Class 10 PDF Download

Objective

To find the centre of a given circle
Materials Required
A sheet of transparent paper, A geometry box, A bangle

Theory

We verified in Activity 19 that the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. From this it can be deduced that the perpendicular bisector of a chord passes through the centre of the circle. Thus, the perpendicular bisectors of any two chords of a circle will intersect at the centre of the circle.

Procedure

Step 1: Place the bangle on the sheet of transparent paper. With the help of the bangle draw a circle.

Step 2: Take any three distinct points A, B and C on the circle. Join AB and BC. Then, AB and BC are two chords of the circle.
Step 3: Fold the paper along the line which cuts the chord AB in such a way that the point A lies exactly over the point B. Form a crease and unfold the paper. Draw a line PQ on this crease. Then, PQ is the perpendicular bisector of the chord AB.
Step 4: Again fold the paper along the line which cuts the chord BC in such a way that the point B lies exactly over the point C. Form a crease and unfold the paper. Draw a line MN on this crease.

Then, MN is the required perpendicular bisector of the chord BC (see Figure 21.1).
Lab Manual: Centre of a Circle | Lab Manuals for Class 10Observations
We observe that the lines PQ and MN intersect at a point O inside the circle.

Result
The point of intersection, O, of the perpendicular bisectors of the two chords of the circle is the centre of the given circle.

The document Lab Manual: Centre of a Circle | Lab Manuals for Class 10 is a part of the Class 10 Course Lab Manuals for Class 10.
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