NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6

CBSE NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 (Ex. 4.6) Basic Geometrical Ideas free to use online or download in PDF file format updated for 2021-2022. Download the videos solution containing the explanation of each question of exercise 4.6

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Class 6 Maths Chapter 4 Exercise 4.6 Solution

Class: 6Mathematics
Chapter: 4Basic Geometrical Ideas
Exercise: 4.6Solutions of all NCERT Questions

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Class 6 Maths Chapter 4 Exercise 4.6 Solution in Videos

Class 6 Maths Chapter 4 Exercise 4.6 Solution
Class 6 Maths Chapter 4 Exercise 4.6 Explanation


The word ‘curve’ means ‘not straight’. However, in Mathematics a curve can be straight.

Types of Curves

There are two types of curves:
(i) open curves
(ii) closed curves.

Open Curves:

A curve which does not cut itself is called an open curve.

Closed Curves:

A curve which cuts itself is called a closed curve.

Position of a Point with Respect to a Curve

If a closed curve is drawn on the plane of the paper, then it divides the plane into three disjoint parts: (i) the points lying inside the curve or interior of the curve. (ii) the points lying on the curve or the boundary of the curve. (iii) the points lying outside the curve or the exterior of the curve. The interior of a curve together with its boundary is called its “region”. In the Fig., M is in the interior, P is in the exterior and N is on the curve.

Close curve

A closed curve formed by the line segments is called a polygon if:
(i) no two line segments intersect except at their end-points.
(ii) no two line segments with a common end points are coincident.

Sides, Vertices and Diagonals of a Polygon

The line segments forming a polygon are called its sides.


The end-points of the line segments are called its vertices. In other words, the meeting point of a pair of sides is called a vertex of the polygon.


The line segments obtained by joining the vertices which are not adjacent are called the diagonals of the polygon.

Note: The end-points of the same side of a polygon are known as adjacent vertices.

ABC is a polygon having three sides AB, BC and CA. Points A, B, C are called vertices.
The figure consists of three sides. So, it is called a triangle.

The polygon with four sides PQ, QR, RS and SP. It has four vertices P, Q, R and S. Such a figure is called a quadrilateral. Line segments PR and SQ are known as the diagonals.
A closed figure formed by five line segments is known as a pentagon. A pentagon with KL, LM, MN, NP and PK as five sides. K, L, M, N and P are five vertices of the pentagon. Line segments KM, KN, LN, LP etc. are diagonals.

Class 6 Maths Exercise 4.6 Important Extra Questions

What do you mean by curve? give some examples

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it. For example, a circle, parabola, hyperbola or a zig-zag shape are examples of curved-shape.

How are polygons used in real life?

Real-life applications of polygons
The tiles which you on walk are squared in shaped, which implies that, they are polygons. The truss of a building or bridge, the walls of a building etc. are examples of polygons. Trusses are triangular in shape while walls are rectangular shaped.

What characteristics do polygons have?

(i) A polygon can be regular or irregular.
(ii) A regular polygon has all sides of equal length, and all angles of equal size.
(iii) An irregular polygon has sides of different lengths and angles of different sizes.

What’s a 7 sided shape called?

A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… The names of polygons are derived from the prefixes of ancient Greek numbers.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.6 all questions guide
Class 6 Maths Chapter 4 Exercise 4.6 in Hindi