The Fascinating World Of 7 Sided 2D Shapes
Shapes are an integral part of our lives and our world. From the tiny cells in our bodies to the vast galaxies in the universe, everything is composed of shapes. One of the most intriguing shapes is the 7 sided 2D shape. In this article, we will explore the properties and characteristics of this fascinating shape.
What is a 7 Sided 2D Shape?
A 7 sided 2D shape is a polygon with seven sides and seven angles. It is also known as a heptagon. The word "heptagon" comes from the Greek words "hepta" which means seven and "gon" which means angle. A heptagon can be regular or irregular.
Regular Heptagon
A regular heptagon is a heptagon where all the sides and angles are equal. The formula to find the interior angle of a regular heptagon is (n-2) x 180 / n. Therefore, the interior angle of a regular heptagon is 128.57 degrees. The formula to find the perimeter of a regular heptagon is 7 x s, where s is the length of one side. The area of a regular heptagon can be calculated using the formula 7/4 x s^2 x cot(180/7).
Irregular Heptagon
An irregular heptagon is a heptagon where the sides and angles are not equal. The angles of an irregular heptagon can be calculated by dividing the shape into triangles and finding the sum of the angles of the triangles. The perimeter and area of an irregular heptagon can be calculated by adding the length of all the sides and using the formula for the area of a polygon.
Real-life Examples of 7 Sided 2D Shapes
Seven sided 2D shapes can be found in various real-life objects and structures. Some of the examples are:
- The seven-sided stop sign
- The seven-sided musical instrument, the pan flute
- The seven-sided coin of Mauritania, the Ouguiya
- The seven-sided building, The Tower of the Winds in Athens, Greece
- The seven-sided tomb of Ghiyasuddin Tughlaq in Delhi, India
The Significance of 7 Sided 2D Shapes
Seven has been considered a mystical and magical number in many cultures. It is often associated with luck, perfection, and completion. In Christianity, there are seven deadly sins and seven virtues. In Islam, there are seven heavens and seven hells. In Hinduism, there are seven chakras. The significance of seven has also been reflected in the use of seven-sided shapes in architecture and design.
Mathematical Properties of 7 Sided 2D Shapes
Seven sided 2D shapes have several interesting mathematical properties. Some of them are:
- The sum of the interior angles of a heptagon is 900 degrees
- The exterior angle of a heptagon is 51.43 degrees
- A heptagon can be divided into five triangles
- A heptagon can also be divided into seven quadrilaterals
Conclusion
Seven sided 2D shapes are fascinating and intriguing. They have various real-life examples and are significant in many cultures. The mathematical properties of heptagons are also interesting and can be used in various fields such as architecture, design, and engineering. The study of shapes and their properties is an important aspect of mathematics and science.
So, the next time you come across a seven-sided shape, take a moment to appreciate its beauty and significance!
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