ML Aggarwal Solutions for Class 6 Maths Chapter 13 Practical Geometry

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Practical Geometry are provided here for the students to check their answers whenever they face difficulty while answering the textbook questions. These solutions will help students to clear their doubts quickly and assist in learning the topic effectively. Students of Class 6 are suggested to practise ML Aggarwal Solutions for Class 6 Maths Chapter 13 to get good marks in the annual examination.

Chapter 13 – Practical Geometry is based on the study of the construction of a line parallel to a given line, through a point not on the line and more topics related to Practical Geometry. Students can refer to and download ML Aggarwal Solutions PDF from the below-given link and can use it for future reference as well.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Practical Geometry

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Access Answers to ML Aggarwal Solutions for Class 6 Maths Chapter 13 Practical Geometry

1. Construct a circle of radius:
(i) 2 cm
(ii) 3.5 cm

Solution:-

(i) From the question, it is given that radius of the circle is 2 cm.

Steps to construct a circle,

(a) Draw a 2 cm line OA by using a ruler.

(b) Then keep the compass opened for the same length.

(c) Keep the pointer on O.

(d) Draw a circle using the pencil end of the compass.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 1

Therefore, this is the required circle of radius 2 cm.

(ii) From the question, it is given that the radius of the circle is 3.5 cm.

Steps to construct a circle,

(a) Draw a 3.5 cm line OA using a ruler.

(b) Then keep the compass opened for the same length.

(c) Keep the pointer on O.

(d) Draw a circle using the pencil end of the compass.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 2

Therefore, this is the required circle of radius 3.5 cm.

2. With the same centre O, draw two circles of radii 2.6 cm and 4.1 cm.

Solution:-

As per the condition given in the question, with the same centre O, draw two circles of radii 2.6 cm and 4.1 cm

Steps to construct a circle,

(a) Mark a point O.

(b) Then, keep the compass opened for the length of 2.6 cm by using a ruler.

(c) Keep the pointer on O.

(d) Draw a circle using the pencil end of the compass.

Again, at the same point O,

(a) Keep the compass opened for the length of 4.1 cm by using a ruler.

(b) Keep the pointer on O.

(c) Draw a circle using the pencil end of the compass.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 3

Therefore, the above figure is the required two circles at the same point O of radius 2.6 cm and 4.1 cm.

3. Draw any circle and mark points A, B and C such that
(i) A is on the circle.
(ii) B is in the interior of the circle.
(iii) C is in the exterior of the circle

Solution:-

(i) A is on the circle.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 4

(ii) B is in the interior of the circle.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 5

(iii) C is in the exterior of the circle

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 6

4. Draw a circle and any two of its (non-perpendicular) 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:-

First, we have to draw a circle and any two of its (non-perpendicular) diameters. Then, joining the ends of the diameters, we get

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 7

Therefore, the obtained figure is a rectangle.

Now, we have to draw a circle, and the diameters are perpendicular to each other, and we get,

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 8

Therefore, the obtained figure is square.

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 ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 9 and ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 10 are at right angles.

Solution:-

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 11

By observing the figure, we can say that ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 12and ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 13are at right angles.

6. Construct a line segment of the length of 6.3 cm using a ruler and compass.
Solution:-

Let us assume P and Q are the two points.

Now, mark the two points by using the ruler 6.3 cm apart.

Then, join PQ, and we get,

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 14is a line segment of length 6.3 cm.

ML Aggarwal Solutions for Class 6 Maths Chapter 13 Image 15

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