![]() ![]() Together they form a pentagonal star, also called a pentagram. Each one of them passes through a vertex of the pentagon and the middle of the opposite edge.Īll diagonals of a regular pentagon are equal to each other. The sum of the interior angles of a pentagon = 540 degrees.Ī regular pentagon has five equal sides and five equal angles.Įach interior angle of a regular pentagon = 108 degrees.Įach exterior angle of a regular pentagon = 72 degrees.Ī regular pentagon has five axes of symmetry. So, the measure of the central angle of a regular pentagon is 360/5 = 72 degrees.Ī pentagon has quite a few interesting properties, which are as follows:Īll pentagons have five sides, but the sides do not have to be of equal length.Ī pentagon can be divided into three triangles. To find the measure of the central angle of a regular pentagon, make a circle in the middle. Therefore, the measure of the interior angle of a regular pentagon is degrees. We can find the measure of the interior angles. So, the sum of all the angles is 540 degrees (from above). We know that, a regular pentagon have all sides are the same length and all interior angles are the same measures. Therefore, the sum of the interior angles of a pentagon is 540 degrees.Īlso we can find the measure of the interior angle of a regular pentagon. ![]() The sum of the angles of each triangle is 180˚. To find the sum of the interior angles of a pentagon, divide it up into triangles. In a concave pentagon, not all diagonals will occur in the interior of the pentagon, as illustrated the example below. In a convex pentagon, all diagonals are totally in the interior of the pentagon. In turn, a concave pentagon has at least one of its interior angles is greater than 180°. The interior angles of a convex pentagon are always less than 180°. Concave and Convex PentagonsĪ concave pentagon is the one that has at least one vertex pointing inwards.Ī convex pentagon is the one that has all its vertices pointing outwards. In turn, a regular pentagon is a regular polygon with five sides and an irregular pentagon is an irregular polygon with five sides. The sides aren’t of equal lengths and angles aren’t of equal measures. Regular or Irregular Pentagons Types of Pentagons Classified by Sides and anglesĪll five sides of equal lengths, and all the five angles of equal measures. There are different types of pentagons, namely: Pentagons are classified by certain properties their sides and their angles or their vertices possess. Which two shapes have the same number of sides?. ![]() Can you answer the following questions correctly? ‘Penta’ is the Greek word for five and ‘gonia’ is the Greek word for angle. The word pentagon itself tells you what it is. Definition of a PentagonĪ pentagon shape is a closed and flat two-dimensional surfaced shape with five angles and five sides. department of defense building in Washington D.In geometry, we study different shapes, and in this article we’ll cover the five-sided polygon, which is called a pentagon.Ī polygon is a closed, plane figure made up of at least 3 segments that do not cross.Įxamples of polygons include triangle (a three-sided polygon), quadrilateral (a four-sided polygon), pentagon (a five-sided polygon), hexagon (a six-sided polygon), heptagon (a seven-sided polygon), and so on. Thus all concave pentagons are irregular. ![]()
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