What is a polygon with 12 angles called?
Table of Contents
- 1 What is a polygon with 12 angles called?
- 2 What is the sum of interior angles of a 12 sided convex polygon?
- 3 Is a dodecagon convex or concave?
- 4 How do you find the measure of an interior angle of a regular polygon with 12 sides?
- 5 What are the interior angles of convex and concave polygons?
- 6 What shape has 12 sides 12 angles and 12 vertices?
What is a polygon with 12 angles called?
A dodecagon is a polygon with 12 sides, 12 angles, and 12 vertices. The word dodecagon comes from the Greek word “dōdeka” which means 12 and “gōnon” which means angle. This polygon can be regular, irregular, concave, or convex, depending on its properties.
What is the sum of interior angles of a 12 sided convex polygon?
The total interior angle of a 12 sided polygon is = (12 – 2) 180 degrees = 1800 degrees.
What is a 12-sided polygon?
A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.
Is a dodecagon convex?
A dodecagon can also be classified as convex or concave. A convex dodecagon is a polygon where no line segment between any two points on its boundary lies outside of it….Dodecagon classifications.
| Regular dodecagon | Irregular dodecagon |
|---|---|
| All sides and interior angles are congruent | Sides and angles have various lengths |
Is a dodecagon convex or concave?
How do you find the measure of an interior angle of a regular polygon with 12 sides?
Once you know the sum, you can divide that by 12 to get the measure of each interior angle: 1800°/12 = 150°
Is a polygon convex or concave?
Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.
What is the difference between convex polygon and regular polygon?
Poly- means “many” and -gon means “angle”. A regular polygon has all angles equal and all sides equal, otherwise it is irregular A convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave.
What are the interior angles of convex and concave polygons?
The interior angles of convex polygons have to be less than 180 degrees. The concave polygon should have at least one reflex angle. A concave polygon must have one vertex that points inwards to give the concave shape. If a line segment is drawn crossing the concave polygon, then it will intersect the boundary more than two times.
What shape has 12 sides 12 angles and 12 vertices?
Dodecagon A dodecagon is a polygon with 12 sides, 12 angles, and 12 vertices. The word dodecagon comes from the Greek word “dōdeka” which means 12 and “gōnon” which means angle. This polygon can be regular, irregular, concave, or convex, depending on its properties.
What is the difference between an isosceles triangle and convex polygon?
An isosceles triangle has only two of its sides equal, and the third side has a different measurement. In a convex polygon, the measure of the interior angle is less than 180 degrees. It is exactly opposite to the concave polygon. The vertices of a convex polygon are always outwards.