CBSE NCERT Solutions for Class 6 Chapter 14

NCERT Solutions for Class 6 is a very important resource for students of CBSE Class 6. Students will find it extremely easy to understand Math problems and how to go about solving them. This also provides important points to remember after every chapter with the complete summary, important Math formulas and well-illustrated examples covering all the topics in the textbooks.

CBSE NCERT Solutions for Class 6 Maths Chapter 14:

Question-1:

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.

Solution:

(i) Mark a point ‘O’ with sharp pencil where we Want centre of the circle.

(ii) Place the pointer of the compasses at ‘O’. Then move the
compasses slowly to draw a circle.
(a) Point A is on the circle.
(b) Point B is in interior of the circle.
(c) Point C is in the exterior of the circle.
circle

Question-2:

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.

Solution:

Draw two circles of equal radii taking A and B as their centre such that one of them passes through the centre of the other. They intersect at C and D. Join AB and CD.
two-circles
In quadrilateral ADBC,
AD= AC (Radius of circle centered at A)
BC=BD (Radius of circle centered at B)
As radius of both circles are equal. Therefore AD=AC=BC=BD
Hence quadrilateral ADBC is a rhombus and in a rhombus, the diagonals bisect each other at 90° Hence AB and CD are at right angles.

Question-3:

Construct a line segment of length 5.6 cm using ruler and compasses.

Solution:

Steps of construction:
line-segment
(i) Draw a line 'l '. Mark a point A on this line.
(ii) Place the compasses pointer on zero mark of the ruler. Open it to place the pencil point up to 5.6 cm mark.
(iii) Withoutchangingtheopeningofthecompasses.PlacethepointeronAandcutanarc
'l ' at B.
AB is the required line segment of length 5.6cm.