What Do You Call A Shape With 7 Sides?
Shapes are one of the fundamental concepts in geometry. They are all around us, from the circle of a pizza to the triangle of a traffic sign. However, some shapes are not as common as others, leading to questions like, “what do you call a shape with 7 sides?” In this article, we will explore the answer to this question in a relaxed English language, providing tips, illustrations, and examples.
What is a Shape with 7 Sides Called?
A shape with 7 sides is called a heptagon. The term heptagon comes from the Greek words ‘hepta’, meaning seven, and ‘gonia’, meaning angles. Therefore, a heptagon is a polygon with seven angles and seven sides. The sides of a heptagon can be of different lengths, but they must be straight, and the angles between them must add up to 900 degrees.
Properties of a Heptagon
A heptagon has several properties that make it unique. Some of these properties include:
- A heptagon has seven vertices, which are the points where the sides meet.
- The sum of the interior angles of a heptagon is 900 degrees.
- A regular heptagon has seven congruent sides and angles.
- A heptagon has 35 diagonals, which are the line segments that connect non-adjacent vertices.
Examples of a Heptagon
Heptagons can be found in many places in our daily lives. Some examples of a heptagon include:
- A stop sign, which is a heptagon with the word STOP written inside.
- A soccer ball, which has 12 black pentagons and 20 white hexagons arranged in a pattern that includes 6 heptagons.
- A honeycomb, which is made up of hexagons and heptagons.
How to Calculate the Area of a Heptagon
The formula for calculating the area of a regular heptagon is:
A = (7/4) × s² × cot(π/7)
Where ‘s’ is the length of one side of the heptagon.
For example, if the side length of a heptagon is 6 cm, then the area can be calculated as:
A = (7/4) × 6² × cot(π/7) ≈ 119.6 cm²
How to Draw a Heptagon
Drawing a heptagon can be challenging, but it can be done using a few simple steps:
- Draw a circle using a compass.
- Divide the circle into seven equal parts using the compass.
- Connect the points using a straightedge to form a heptagon.
Alternatively, you can use a protractor to measure the angles between the sides of a heptagon and draw them accordingly.
Conclusion
In conclusion, a shape with 7 sides is called a heptagon. Heptagons have unique properties that make them interesting, and they can be found in many places in our daily lives. Knowing what a heptagon is and how to calculate its area or draw it can be useful in many fields, such as engineering, architecture, and design.
So, the next time someone asks you, “what do you call a shape with 7 sides?” you can confidently say, “a heptagon.”
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