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Seven Sided Figure Is Called

What do you call a seven sided shape? Socratic
What do you call a seven sided shape? Socratic from socratic.org

Geometry is a branch of mathematics that deals with shapes, sizes, positions, and dimensions of objects. One of the fundamental concepts in geometry is the polygon, which is a closed figure with straight sides. There are several types of polygons, and each has its unique properties. In this article, we will focus on a seven-sided polygon and explore what it is called and its characteristics.

What is a Seven-Sided Polygon Called?

A seven-sided polygon is called a heptagon. The term "heptagon" is derived from the Greek words "hepta," meaning seven, and "gonia," meaning angle. A heptagon has seven sides, seven angles, and seven vertices.

Characteristics of a Heptagon

A heptagon is a regular polygon, which means that all its sides and angles are equal. Therefore, a heptagon has seven congruent sides and seven congruent angles, each measuring 128.57 degrees. The sum of the interior angles of a heptagon is 900 degrees, and the exterior angles measure 51.43 degrees.

The area of a heptagon can be calculated by dividing it into seven triangles and finding the area of each triangle. Alternatively, we can use the formula:

A = (7/4) * s2 * (1 / tan(π/7))

Where A is the area and s is the length of each side.

Real-Life Examples of Heptagons

Heptagons can be found in various objects in our daily lives. For instance, the seven-segment displays commonly used in digital clocks and calculators are heptagons. Also, some coins, such as the British 50 pence and the Brazilian 1 real coin, have a heptagonal shape.

In architecture, heptagons are used in the design of some buildings, such as the El Castillo pyramid in Mexico and the Seven-sided Chamber in the Forbidden City, China. Heptagons are also found in nature, such as the shape of the microscopic diatom algae.

Other Types of Seven-Sided Polygons

It is worth noting that there are other types of seven-sided polygons besides the regular heptagon. For instance, a concave heptagon has at least one interior angle greater than 180 degrees, and a convex heptagon has all its interior angles less than 180 degrees. Also, a crossed heptagon is a self-intersecting polygon, and a star heptagon has a star-like shape.

Conclusion

In conclusion, a seven-sided polygon is called a heptagon. It is a regular polygon with seven sides, angles, and vertices. A heptagon has several unique properties, such as equal sides and angles, and an area that can be calculated using a formula. Heptagons can be found in various objects in our daily lives, in architecture, and in nature. Understanding the properties of polygons is essential in various fields, such as engineering, architecture, and science.

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