Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Solution:

Following are the steps to draw the perpendicular bisector of two chords of a circle.

Step 1: Draw a circle of radius 4 cm with center O.

Step 2: Draw any two chords that meet the circle at point PQ and XY

Step 3: Taking P and Q as the center, mark arcs that intersect each other at points A and B.

Step 4: Join AB to construct a perpendicular bisector of the chord PQ.

Step 5:Taking X and Y as the center, mark arcs that intersect each other at points C and D.

Step 6: Join CD to construct a perpendicular bisector of XY.

Thus, we see that the two perpendicular bisectors AB and DC of the chords PQ and XY respectively meet at the center O.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.5 Question 8

Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Summary:

For a circle of radius 4 cm,  we see that the two perpendicular bisectors AB and DC of the chords PQ and XY respectively meet at the center O.

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