NCERT Solutions Class 6 Maths
Chapter – 14 (Practical Geometry)
The NCERT Solutions in English Language for Class 6 Mathematics Chapter – 14 Practical Geometry Exercise 14.1 has been provided here to help the students in solving the questions from this exercise.
Chapter 14: Practical Geometry
- NCERT Solution Class 6 Maths Exercise – 14.2
- NCERT Solution Class 6 Maths Exercise – 14.3
- NCERT Solution Class 6 Maths Exercise – 14.4
- NCERT Solution Class 6 Maths Exercise – 14.5
- NCERT Solution Class 6 Maths Exercise – 14.6
Exercise – 14.1
1. Draw a circle of radius 3.2 cm.
Solutions:
The required circle may be drawn as follows:
Step 1: Mark a point O as a centre.
Step 2: Open the compass up to the given radius 3.2 cm.
Step 3: Put the needle of the compass at the centre O.
Step 4: Now, turn the compasses slowly to draw the required circle.
The figure thus obtained is the required circle of radius 3.2 cm.
2. With the same centre O, draw two circles of radii 4 cm and 2.5 cm.
Solutions:
The required circle may be drawn as follows:
Step 1: For the required radius 4 cm, first open the compasses.
Step 2: For the centre of a circle, mark a point ‘O’.
Step 3: Place a pointer of compasses on ‘O’.
Step 4: Turn the compasses slowly to draw the circle.
Step 5: Next, open the compasses for 2.5 cm.
Step 6: Again place a pointer of compasses on ‘O’ and turn the compasses slowly to draw the circle.
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?
Solutions:
First Diameter – On joining the ends of any two diameters of the circle, the figure obtained is a rectangle.
Second Diameter – On joining the ends of any two diameters of the circle, perpendicular to each other, the figure obtained is a square.
To check our answers we may measure the length of sides of quadrilateral formed.
4. Draw any circle and mark points A, B and C such that
(a) A is on the circle.
(b) B is in the interior of the circle.
(c) C is in the exterior of the circle.
Solutions:
We may draw a circle and three required points A, B, C as follows:
(a) A is on the circle.
(b) B is in the interior of the circle.
(c) C is in the exterior of the circle.
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 and
are at right angles.
Solutions:
In the given figure two circles of equal radii intersect each other at C and D on measuring, we see that and
intersect each other at right angles.
