What is an equilateral concave pentagon?
What is an equilateral concave pentagon?
The concave pentagons are non-stellated pentagons having at least one angle greater than 180°. The first angle which opens wider than 180° is γ, so the equation γ = 180° (border shown in green at right) is a curve which is the border of the regions of concave pentagons and others, called convex.
How many sides does a Equiangular Pentagon have?
List of other polygons
| Polygon | Number of Sides |
|---|---|
| Triangle | 3 |
| Quadrilateral | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
Can a pentagon have a concave angle?
Pentagons or other polygons can also be classified as either convex or concave. If all interior angles of a pentagon or polygon are less than 180°, it is convex. If one or more interior angles are larger than 180°, it is concave. A regular pentagon is always a convex pentagon.
Is a pentagon made of equilateral triangles?
A regular pentagon with an equilateral triangle removed To find the area of a complete regular pentagon: The pentagon is divided into five identical isosceles triangles. Each triangle has one angle that is 360° ÷ 5 = 72° and two equal angles (�� in the diagram).
Can a concave polygon be equilateral?
If the number of sides is at least five, an equilateral polygon doesn’t need to be a convex polygon: it could be concave or even self-intersecting.
Which polygon is equilateral and equiangular?
square
Regular Polygons When a polygon is both equilateral and equiangular, it is called a regular polygon. A square is an example of a regular polygon.
What is concave and convex polygon?
A convex polygon has all its interior angles less than 180 degrees whereas a concave polygon has at least one interior angle more than 180 degrees.
Does a pentagon have 5 equal sides?
Regular and Irregular Pentagon 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.
What kind of angles does a pentagon have?
A pentagon has five sides. A regular pentagon has no right angles ( It has interior angles each equal to 108 degrees). An irregular pentagon has at most three right angles because a fourth would leave 180 degrees to be used for the final angle that is (540 degrees – 360 degrees), which is a straight line.
What angles are in a pentagon?
A regular pentagon has all its five sides equal and all five angles are also equal. Hence, the measure of each interior angle of a regular pentagon is given by the below formula. Measure of each interior angle = [(n – 2) × 180°]/n = 540°/5 = 108°.
What is equiangular polygon?
In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular polygon. Isogonal polygons are equiangular polygons which alternate two edge lengths.
How many triangles does pentagon have?
If we divide a pentagon into triangles as in the figure on the left below, the pentagon is made up of 3 triangles, so the angle sum is 180 + 180 + 180 = 3*180 = 540 degrees. However, the non-convex pentagon on the right is a trickier case.
