# What is a regular polygon?

State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides

**Solution:**

Regular polygon - A polygon having all sides of equal length and the interior angles of equal measure is known as a regular polygon i.e. a regular polygon is both ‘equiangular’ and ‘equilateral’.

(a) 3 sides = polygons having three sides is called a triangle. A regular 3 sided polygon is an equilateral triangle.

(b) 4 sides = polygons having four sides is called a quadrilateral. A regular 4 sided polygon is a square.

(c) 6 sides = a regular polygons having six sides is called a Hexagon.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 3

**Video Solution:**

## What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.1 Question 5

**Summary:**

A polygon having all sides of equal length and the interior angles of equal measure is known as a regular polygon. (a) A regular polygon of 3 sides is an equilateral triangle. (b) A regular polygon of 4 sides is a square. (c) A regular polygon of 6 sides is called a hexagon.

**☛ Related Questions:**

- Given here are some figures. Classify each of them on the basis of the following. (a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon
- How many diagonals does each of the following have? (a) A convex quadrilateral (b) A regular hexagon (c) A triangle
- What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)
- Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides? (a) 7 (b) 8 (c) 10 (d) n

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