Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

Solution:

We will be using the concept of circle, square, and rectangle to solve this.

Let the center of the circle be O.

Let the diameters of the circle AC and BD are bisecting each other. Then the figure obtained after joining the ends of the diameters is a four-sided closed figure.

⇒ OA = OB = OC = OD= radius of the circle is always same.

A quadrilateral with both the diagonals of the same length and bisecting each other is a rectangle.

Let the diameters that bisect each other be PR and QS are perpendicular to each other. The obtained figure is a square with perpendicular diagonals.

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.1 Question 3

Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

Summary:

The figure obtained by joining the ends of the diameter is a rectangle, whereas if the diagonals are perpendicular to each other, the figure is a square.

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