The width of a pentagon shows how far apart its two straight sides are. The five straight sides of a pentagon connect 5 vertices or corners. A pentagram is a star shape that can be drawn inside the polygon.The formula is w = s(√5 – 1)/2, where “s” stands for the length of one of the sides. Use a formula to find the distance between two parallel sides of a regular pentagon.The center of a circumscribed circle in a pentagon is called an incenter.A circumscribed circle is a circle that goes through all the vertices of a pentagon.A golden ratio is between the length of a diagonal and the length of one side of the pentagon.A regular pentagon can be inscribed inside a circle.If you draw the diagonals of a regular pentagon, they will divide the shape into five identical triangles.A regular pentagon has a diagonal-to-side length ratio equal to the golden ratio (1 + sqrt(5))/2, which is approximately 1.618.Diagonals are lines dividing the pentagon across 5 vertices. Each angle of the exterior of a pentagon measures 72 degrees, and the sum of all of them is 360 degrees.An irregular pentagon will have different angles. When measuring the interior angles of a regular pentagon, you’ll get 540 degrees, with each angle measuring 180 degrees.If the pentagon is irregular, some sides and the angles may have different measures. A pentagon has 5 sides and 5 angles, and they are all equal if the pentagon is regular, that is the case.Here are some of the pentagon’s properties: Albeit the angle difference, they all sum up to less than 360 degrees, and all the interior angles are still 540 degrees. In a reflex pentagon, one of the angles measures higher than 180 degrees, while the rest go between acute and obtuse pentagon angles. However, the sum of the interior angles of this pentagon will still be 540 degrees, regardless of the difference in measures. In an obtuse pentagon, one angle is greater than 90 degrees, while the rest measures are the same as an acute angle below 90 degrees. Therefore, the sum of an acute pentagon’s interior angles is less than 450 degrees. In an acute pentagon, all interior angles measure less than 90 degrees. You can classify pentagons based on their angles’ measure and following this classification, there are three of them: Acute pentagon Some other pentagons which your kid will be learning about as they progress through the curriculum include:Ĭlassification of Pentagons Based on Their Angles The irregular pentagon is hard to find in natural-life objects, but you can find them in kites, in the shape of a starfish with its five arms, and in some stop signs. Some will be different because the side and angles of an irregular pentagon are not congruent. In an irregular pentagon, all the pentagon sides and angles are not the same. You can also find a regular pentagon in the shape of a home plate on a baseball diamond. You may be asked, “What does a pentagon look like?” But you may not readily have the answers because there are so few real-life representations of that shape.Īn example of a pentagon is the design of the US Department of Defence building, which coincidentally is called the Pentagon. It has both rotational symmetry and reflection symmetry. Regular pentagonĪ regular pentagon is the one where all the sides and angles are equal. There are different types of pentagons, but the two main ones are regular and irregular pentagons. If you want to draw a pentagon, draw a circle and then use a compass to divide it into 5 equal parts. On the other hand, the exterior angles of a regular pentagon are 74 degrees. Each interior angle in a pentagon is 108 degrees, adding up to 540 degrees. A pentagon’s sides and angles are usually the same as long as it’s a regular pentagon. What Is a Pentagon?Ī pentagon is a 5 sided shape the name of which originated from the Greek word Pentegonia. Let this article teach you the basics of the pentagon concept so you can pass the information to your kids. If you want to teach your kids geometry, you have to learn everything about pentagons. They will learn the pentagon definition, how to draw it, calculate the area of the pentagon and the perimeter, and how to use the knowledge on the topic to solve real-life problems. One of the shapes your kids will encounter as they learn geometry is a shape with 5 sides called the pentagon.

Pentagon geometry