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°.
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