Class 6 - Mathematics : Practical Geometry
Exercise : 14.1
Top Block 1
NCERT Solutions Class 6 Mathematics Practical Geometry Ex 14.1
Question: 1.Draw a circle of radius 3.2 cm.
Answer :
Steps of construction:
(b) Make a point with a sharp pencil where we want the centre of circle to be.
(c) Name it O.
(d) Place the pointer of compasses on O.
(e) Turn the compasses slowly to draw the circle.
It is required circle.
Question: 2.With the same centre O, draw two circles of radii 4 cm and 2.5 cm.
Answer :
Steps of construction:
Mddle block 1
(b) Open the compasses 4 cm.
(c) Place the pointer of the compasses on O.
(d) Turn the compasses slowly to draw the circle.
(e) Again open the compasses 2.5 cm and place the pointer of the compasses on D.
(f) Turn the compasses slowly to draw the second circle.
It is the required figure.
Question: 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?
Answer :
(i) By joining the ends of two diameters, we get a rectangle. By measuring, we find AB = CD = 3 cm, BC = AD = 2 cm, i.e., pairs of opposite sides are equal and also ∠A = ∠B = ∠C = ∠D = 90o, i.e. each angle is of 90∘. Hence,e it is a rectangle.
joining the ends of two diameters, we get a square.
By measuring, we find that AB = BC = CD = DA = 2.5 cm, i.e., all four sides are equal.
Also ∠A = ∠B = ∠C = ∠D = 90o, i.e. each angle is of 90o.
Hence, it is a square.
Question: 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.
Answer :
(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.
(b) Point B is in interior of the circle.
(c) Point C is in the exterior of the circle.
Question: 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.
Answer :
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.
