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What does a pentagon need?
As I just mentioned, in order for a shape to qualify as a pentagon, it needs to be a five sided shape and have five angles. The pentagon’s sides need to be straight: if any of them are curved, then the shape does not qualify as a pentagon. A regular pentagon has all equal sides and angles.
What does a shape have to have to be a pentagon?
In geometry, it is considered as a is a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Pentagons can be simple or self-intersecting. A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other.
What properties does a pentagon have?
Properties of a regular pentagon
- All angles are equal.
- All sides are of equal length.
- All interior angles are 108°
- All exterior angles are 72°
What are the rules of a pentagon?
So, the measure of the central angle of a regular pentagon is equal to 72 degrees. A pentagon has five sides….Angles in a Pentagon.
| General Rule | |
|---|---|
| Sum of Interior Angles of a polygon = | 180 ×(n−2) degrees, where n is number of sides |
| Measure of each of the Angle (in a Regular Polygon) = | 180 degrees ×(n−2) / n, where n is the number of sides/. |
What are the properties of a regular pentagon?
Some properties of the pentagon are as follows: In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular polygon. Otherwise, it is irregular. In the regular pentagon, the interior angle is 108°, and the exterior angle is of 72°.
When does a pentagon have no internal angles?
A pentagon is a 5-sided Polygon (a flat shape with straight sides): When all angles are equal and all sides are equal it is regular, otherwise it is irregular: A convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave.
What kind of Pentagon has five congruent sides?
If a pentagon is regular, then all the sides are equal in length, and five angles are of equal measures. If the pentagon does not have equal side length and angle measure, then it is known as an irregular pentagon. As defined above, a regular pentagon contains five congruent sides. Thus, we can easily find the perimeter of this type of pentagon.
Which is an example of a pentagonal shape?
Whether it is an irregular pentagon with varying side lengths or a regular pentagon with equal sides and equal angles, there are many real-life examples of pentagons: The famous U.S. department of defense building in Washington D.C. (The Pentagon building) When you find a five-sided shape, you can describe it as a pentagonal shape.