Download Playing with Constructions – NCERT Class 6 Maths Chapter 8 PDF from the new NCERT Class 6 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. A circle is the set of all points at the same distance from one fixed point. That point is the centre and the fixed distance is the radius. This is why a compass — which keeps its opening fixed — draws circles and arcs.
Playing with Constructions PDF – Chapter 8 of Ganita Prakash
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 8 PDF | Playing with Constructions | View PDF |
| Full book | NCERT Class 6 Maths – Ganita Prakash | View Book |
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What Is in Playing with Constructions? (Class 6 Maths Chapter 8)
- A circle is the set of all points at the same distance from one fixed point. That point is the centre and the fixed distance is the radius. This is why a compass — which keeps its opening fixed — draws circles and arcs.
- A rectangle obeys two rules: R1 opposite sides are equal, R2 all four angles are 90°. A square obeys S1 all sides equal and S2 all angles 90°. Turning (rotating) a figure changes neither its sides nor its angles, so a rotated square is still a square.
- A figure is named by travelling around its boundary — ABCD, BCDA, DCBA are all valid names of the same rectangle, but ABDC is not.
- The best way to construct a figure is to draw a rough diagram first, mark on it everything you know, and then decide the order in which the points can be located.
- A rectangle can be constructed when two sides are given, or when one side and a diagonal are given — in the second case an arc of radius equal to the diagonal cuts the perpendicular at the missing corner.
- To find a point at given distances from two known points, draw two arcs and take their crossing point. This one idea builds the House, the eyes, the wavy wave and the rhombus.
Quick revision – Playing with Constructions
| Idea | Rule in short | Example from the chapter | Result |
|---|---|---|---|
| Circle | All points at the same distance from the centre | Centre P, radius 4 cm | Every point of the circle is 4 cm from P |
| Compass | Keeps one opening fixed while the pencil turns | Opened to 4 cm against a ruler | A circle or an arc of radius 4 cm |
| Rectangle | R1 opposite sides equal, R2 all angles 90° | ABCD with AB = 7 cm, BC = 4 cm | DC = 7 cm, AD = 4 cm |
| Square | S1 all sides equal, S2 all angles 90° | PQRS of side 6 cm | RS = 6 cm, ∠R = ∠S = 90° |
| Valid name | Corners taken in order of travel | PQSR for the square PQRS | Not a valid name |
| Rotated figure | Turning changes no length and no angle | A square turned like a diamond | Still a square |
| Rectangle from two sides | Side → perpendicular → side → perpendicular | Sides 4 cm and 6 cm | Rectangle 4 cm × 6 cm |
| Rectangle from side + diagonal | Arc of radius = diagonal cuts the perpendicular | Side 5 cm, diagonal 7 cm | Other side ≈ 4.9 cm |
| Diagonals of a rectangle | Always equal in length | Rectangle 7 cm × 4 cm | Both diagonals ≈ 8.1 cm |
| Diagonal and the corner angle | Splits 90° into two unequal parts | 60° + 30° at A | Equal parts (45° + 45°) only in a square |
| Rectangle into identical squares | Long side = 2 × (or 3 ×) the short side | AF = 4 cm | AC = 8 cm (two squares), 12 cm (three) |
| Point at given distances from two points | Cross two arcs | 5 cm from B and 5 cm from C | The apex A of the house |
Old NCERT vs New – Class 6 Maths
This chapter is from Ganita Prakash, the new NCERT Class 6 Maths book (NCF-SE 2023, used from 2024-25). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Playing with Constructions – Overview
| Class | Class 6 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Chapter | 8 of 10 – Playing with Constructions |
| Book pages | 187 – 216 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 6 Maths Chapter 8 – FAQs
Where can I download Playing with Constructions Class 6 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 6 Maths Chapter 8 about?
A circle is the set of all points at the same distance from one fixed point. That point is the centre and the fixed distance is the radius. This is why a compass — which keeps its opening fixed — draws circles and arcs.
Is Playing with Constructions from the new NCERT Class 6 Maths book?
Yes. It is chapter 8 of ganita prakash, the new NCERT Class 6 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 6 Maths Chapter 8?
Open the NCERT Solutions link above for answers to the exercise questions.