NCERT Solutions for Class 6 Maths Chapter 14: Practical Geometry - Exercise 14.1

Exercise 14.1

1. Draw a circle of radius 3.2 cm.

Ans :

Steps of construction:

1. Take a compass and measure the length of 3.2cm using ruler scale.

2. Mark a point O which is the centre of the circle we are going to draw.

3. Now place the pointer of the compass at a point O and draw the circle by rotating the compass slowly.

2. With the same centre O, draw two circles of radii 4 cm and 2.5 cm.

Ans :

Steps of Construction:

1. Mark a point O which is the centre of the circle.

2. Now take a compass and measure the length 4cm using scale which is the radius of the first  circle.

3. Now place the pointer of the compass at a point O and draw the first circle slowly.

4. Now take a compass and measure the length of 2.5 cm using scale which is the radius of the second circle.

5. Now place the pointer of the compass at point O and draw the circle slowly.
   

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

Ans :If we join the ends of the diameters of the circle, we’ll get a rectangle, because we know that the two chords make \[{90^ \circ }\]at the circumference.

\[\angle A = \angle B = \angle C = \angle D = {90^ \circ }\]

If the diameters of the circle are perpendicular to each other, then by joining the ends of the diameter we’ll get a square.

As we know that 

\[\angle A = \angle B = \angle C = \angle D = {90^ \circ }\], then by measuring we get AB=BC=CD=DA.

All the sides are equal.

So ABCD is a square.

4. Draw any circle and mark points A, B and C such that: 

1. A is on the circle. 

2. B is in the interior of the circle. 

3. C is in the exterior of the circle

Ans :

Steps of Construction:

1. Take a compass and measure any length as a radii of the circle.

2. Now mark a point O which is the centre of the circle.

3. Place the pointer of the compass at O and draw the circle slowly.

4. Now mark a point A which is lying in the circumference of the circle.

5. Mark any point inside the circle which is point B.

6. Mark any point outside the circle which is point C.
   

5. Let A, B be the centres of two circles of equal radii, draw them so that each one of them passes through the centre of the other. Let them intersect at C and D. Examine whether AB and CD are at right angles.

Ans:

Draw two circles of equal radius. Let A,B be the centre of the two circles.

Now, it is given that the radii of each one of the circles pass through the centre of the other.

It is also given that two circles intersect each other at C and D.

We know that the radii of the circle bisects perpendicularly the chord of the circle i.e. Radii is the perpendicular bisector of the chord of the circle.

So, \[\angle BOC = {90^ \circ }\]

Thus, AB and CD are at right angles.

NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.1

Opting for the NCERT solutions for Ex 14.1 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 14.1 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 6 students who are thorough with all the concepts from the Subject Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 6 Maths Chapter 14 Exercise 14.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 6 Maths Chapter 14 Exercise 14.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

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