To make patterns of shapes using different number of angles / types of angles

__To make patterns of shapes using different number of
angles / types of angles__

Let us recall the types of angles.

Observe the angles formed at the
vertex of the following shapes.

This is an equilateral triangle.

It has 3 angles formed at 3 vertices.

The 3 angles are equal in measure and
they are equal to 60°.

It can be demonstrated as follows.

**Finding the angle of a regular hexagon using the equilateral
triangle**

We shall find the angles of a regular
hexagon using the
equilateral triangle.
Place the equilateral triangles in a regular hexagon as shown in the figure.

Angle at the centre of a regular hexagon is
360°.

This is also the angle of a circle.

Angle at each vertex of a regular hexagon is
120°

**Finding the angle of a square**

Angle
of a circle is 360°

Let
us find the angle of square using a circle.

Place
4 squares as shown in the above figure.

The
shape formed at the centre is a circle. The angle of circle is 360°.

Now
the angle of a square is 360° ÷ 4 = 90°.

Tags : Patterns | Term 2 Chapter 3 | 5th Maths , 5th Maths : Term 2 Unit 3 : Patterns

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5th Maths : Term 2 Unit 3 : Patterns : Patterns of shapes using angles | Patterns | Term 2 Chapter 3 | 5th Maths

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