Table of Contents
- 1 What is the formula of the polygon?
- 2 What is the formula of interior regular polygon?
- 3 What is the number of sides of a regular polygon whose interior angle is equal to 156o?
- 4 How many sides does a polygon have with an interior angle of 162?
- 5 How to find the number of sides of a regular polygon?
- 6 What is the formula to find the diagonals of a polygon?
- 7 How do you find the exterior angle of a regular polygon?
What is the formula of the polygon?
Polygon Formula The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n. The measure of exterior angles of a regular n-sided polygon = 360°/n.
What is the formula of interior regular polygon?
In order to find the measure of a single interior angle of a regular polygon (a polygon with sides of equal length and angles of equal measure) with n sides, we calculate the sum interior anglesor (n−2)⋅180 and then divide that sum by the number of sides or n.
How many sides are on a polygon?
Other Types of Polygons
Polygon | Number of Sides |
---|---|
Triangle | 3 |
Quadrilateral | 4 |
Pentagon | 5 |
Hexagon | 6 |
What is the number of sides of a regular polygon whose interior angle is equal to 156o?
Answer: The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides.
How many sides does a polygon have with an interior angle of 162?
20
Solution: Given: Each interior angle of a polygon is 162°. We know that the sum of an interior angle and an exterior angle of a polygon is equal to 180°. Hence, the number of sides of the given polygon is 20.
What is the number of sides of a regular polygon that has an interior measure of 120?
6 sides
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon). Let us solve it step by step.
How to find the number of sides of a regular polygon?
Therefore, the exterior angle is 36° The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle Therefore, the number of sides = 360° / 36° = 10 sides
What is the formula to find the diagonals of a polygon?
The formula to find diagonals of a polygon with n side is: n (n − 3) 2 Where n represents the total number of sides of the polygon. The following table shows the number of diagonals of different polygons which is calculated using the formula of diagonals of a polygon.
How to find the number of sides of a regular octagon?
The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle. Therefore, the number of sides = 360° / 36° = 10 sides. Hence, the polygon has 10 sides. Q.2: What is the value of the interior angle of a regular octagon?
How do you find the exterior angle of a regular polygon?
Exterior angle = 180°-144° Therefore, the exterior angle is 36° The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle