Practical Geometry 14.1

Full exercise on Practical Geometry, fully solved. This is a video tutorial for 6th class NCERT students. For other educational stuff, subscribe and press bell icon.

We see a number of shapes with which we are familiar. We also make a lot of pictures. These pictures include different shapes. In this chapter we shall learn to make these shapes. In making these shapes we need to use some tools.

We are going to consider “Ruler and compasses constructions”, using
ruler, only to draw lines, and compasses, only to draw arcs. Be careful while doing these constructions. Here are some tips to help you.
(a) Draw thin lines and mark points lightly.
(b) Maintain instruments with sharp tips and fine edges.
(c) Have two pencils in the box, one for insertion into the compasses and the other to draw lines or curves and mark points.

Step 1 Open the compasses for the required radius of 3cm.

Step 2 Mark a point with a sharp pencil where we want the centre of the circle to be. Name it as O.

Step 3 Place the pointer of the compasses on O.

Step 4 Turn the compasses slowly to draw the circle. Be careful to complete the movement around in one instant.

EXERCISE 14.1
1. Draw a circle of radius 3.2 cm.

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

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?

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.

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.

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