How many sides does a polygon with a sum of 2160 degrees have?
Table of Contents
How many sides does a polygon with a sum of 2160 degrees have?
A regular polygon with interior angles adding up to 2160° would be a 14 sided polygon and each angle is 154 2/7°. You can have an infinite amount of convex 14 sided polygons where each angle is less than 180°.
What polygon has 2160 degrees?
A tetradecagon is a polygon with 14 sides, and the sum of its interior angles is 2160 degrees.
How many sides does a polygon have if the sum of the measures of the interior angles is 2520?
The polygon has 16 sides.
How do you find the sides of a polygon when given angles?
Answer: To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n – 2) × 180, where n is the number of sides.
How many sides does a polygon have if the sum of the interior angles is 1440?
10 sided
The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180).
How many sides does a polygon have if the sum of the interior angles is 3240 {\ circ ∘?
There we go, 20 sides.
How many sides are on a polygon?
Other Types of Polygons
| Polygon | Number of Sides |
|---|---|
| Triangle | 3 |
| Quadrilateral | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
How many sides does a polygon have whose interior angles sum 1800?
First, assume the polygon has n sides, then it would also have n interior angles. In this manner, how many sides does a polygon have whose interior angles sum to 1800? Explanation: The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides.
How do you find the sum of angles of a polygon?
A polygon’s sum of angles is 2160°. How many sides does the polygon have? For a Euclidean polygon, 14, because if n is the number of sides, then the sum of the angles is 180 ∘ ( n − 2), and the equation 180 ( n − 2) = 2160 entails n = 14. For a polygon in the hyperbolic plane, there must be more than 14 sides.
How many sides does a polygon have with n = 6?
Recall that the formula for the sum of the interior angles in a regular polygon is: In your case, since the sum of the interior angles is 720∘, then the formula must equal to 720∘. Hence, Since you are looking for n, the number of sides the polygon has, you must solve for n. Thus, Since n = 6, then the polygon has 6 sides. An alternative approach.
What is the sum of angles of a pentagon?
Sum of angles of pentagon = (10 − 2) × 180° S = 8 × 180° S = 1440° For a regular decagon, all the interior angles are equal.