Table of Contents
- 1 How many diagonals does a 30 sided polygon have?
- 2 How many sides does a regular polygon have if the measure of each exterior angle is 45 degree?
- 3 What polygon has exterior angle of 30?
- 4 How many sides does a regular polygon have if each exterior angle?
- 5 What is the sum of all exterior angles of a polygon?
- 6 What regular polygon has an exterior angle of 36 degrees?
- 7 What is the number of diagonals in a polygon equal to?
- 8 What does a four sided polygon look like?
How many diagonals does a 30 sided polygon have?
Detailed Solution. ∴ number of diagonals is 405.
How many sides does a regular polygon have if each exterior angle is 30?
As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .
How many sides does a regular polygon have if the measure of each exterior angle is 45 degree?
8 Sides
Given that Exterior angle = 45° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 45° × n = 360° n = 360″°” /45″°” n = 8 ∴ Polygon has 8 Sides.
What is the sum of the measures of the exterior angles of a 30 sides convex polygon?
360°
Polygon Exterior Angle Sum Theorem. If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
What polygon has exterior angle of 30?
Since all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides. (This polygon has a short name: a dodecagon).
How many diagonals does a regular polygon with 35 sides have?
560
diagonals, as each vertex has diagonals to all other vertices except itself and the two adjacent vertices, or n − 3 diagonals, and each diagonal is shared by two vertices….Polygons.
| Sides | Diagonals |
|---|---|
| 35 | 560 |
| 36 | 594 |
| 37 | 629 |
| 38 | 665 |
How many sides does a regular polygon have if each exterior angle?
The sum of the exterior angles of a regular polygon is 360, so if an exterior angle = 8, then the number of sides is 360/8 = 45.
How do you find the sides of a polygon with exterior angles?
Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.
What is the sum of all exterior angles of a polygon?
The sum of all the exterior angles in a polygon is equal to 360 degrees.
What is the sum of the interior angles of a 30 sided polygon?
5040 degrees
In geometry, a triacontagon or 30-gon is a thirty-sided polygon. The sum of any triacontagon’s interior angles is 5040 degrees.
What regular polygon has an exterior angle of 36 degrees?
Properties of regular decagons
| Interior angle | 144° |
|---|---|
| Exterior Angle | 36° |
| Area | 7.694s2 approx |
What is a 29 sided polygon called?
What is the name of a polygon with…?
| # | Name of the Polygon + Geometric Drawing |
|---|---|
| 27 sides | heptaicosagon |
| 28 sides | octaicosagon |
| 29 sides | enneaicosagon |
| 30 sides | triacontagon |
What is the number of diagonals in a polygon equal to?
Originally Answered: The number of diagonals in a regualr polygon is equal to the number of sides. What is the number of degrees in the sum of all the interior angles of the polygon? The number of diagonals is given by n (n-3)/2, where n = number of sides. Here So the figure is a regular pentagon. Each exterior angle is 360/5 = 72 deg.
How do you find the number of sides of a polygon?
Each exterior angle of a regular polygon = 30 deg. The number of sides in the polygon = 360/30 = 12. The number of diagonals = n (n-3)/2 = 12* (12–3)/2 = 6*9 = 54. Number of sides = 360/External Angle rearrangement if usual EA formula fir regular polygons) gives us 12 sides
What does a four sided polygon look like?
A four sided polygon can look like a lot of things but a simple easy one is a square or rectangle. Each corner is a right angle or in other words is a 90 degree angle. 4 of those is 360.
How many diagonals does a pentagon have?
The square has 2 diagonals, the pentagon has 5 diagonals, the hexagon has 9 diagonals. Of these 3, the pentagon has the same number of diagonals as its number of sides.