How Do You Find The N Side Of A Polygon?

How many sides does a polygon have with an interior angle of 160?

18 sidesAnswer and Explanation: Hence, it has 18 sides..

What is an N sided regular polygon?

A regular n-sided polygon has rotational symmetry of order n. … That is, a regular polygon is a cyclic polygon. Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.

How many side does a polygon have?

2D ShapesTriangle – 3 SidesSquare – 4 SidesPentagon – 5 SidesHexagon – 6 sidesHeptagon – 7 SidesOctagon – 8 SidesNonagon – 9 SidesDecagon – 10 SidesMore …

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

How do u find the area of a regular polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.

What’s a 4 sided shape called?

quadrilateralPolygon. A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

How do you find the sides of a polygon?

Finding the Number of Sides of a Polygon You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

What is a 100 sided shape?

hectogonIn geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.

What is the formula for Apothem?

More Formulas We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.

What is the area of a 12 sided polygon?

Area of a Regular Dodecagon For a regular dodecagon with sides s, the area formula is: A = 3 × (s)^2 × (2 + √3)

What is a 9 sided shape called?

enneagonIn geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.

How do you find the area of a polygon with n sides?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

How many degrees does an N sided polygon have?

The General RuleShapeSidesSum of Interior AnglesOctagon81080°Nonagon91260°……..Any Polygonn(n−2) × 180°6 more rows

What is the formula for perimeter of a regular polygon?

After going through the video, graphics and text, you are now able to identify a polygon based on its properties, find the perimeter of any polygon by adding the lengths of all the polygon’s sides, and apply knowledge of regular polygons to calculate perimeter quickly, using the formula P = n × s P = n × s where n is …

What’s a 12 sided shape called?

dodecagonIn geometry, a dodecagon or 12-gon is any twelve-sided polygon.

Can a polygon have 2 sides?

In geometry, a digon is a polygon with two sides (edges) and two vertices. … A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}.

What is the formula of polygon?

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

What polygon has 4 sides?

Four-Sided Polygons – Quadrilaterals The term tetragon is consistent with polygon, pentagon etc. You may come across it occasionally, but it is not commonly used in practice. The family of quadrilaterals includes the square, rectangle, rhombus and other parallelograms, trapezium/trapezoid and kite.

What is an sided shape?

In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. These segments are called its edges or sides, and the points where two edges meet are the polygon’s vertices (singular: vertex) or corners.

How do you find the perimeter and area of a polygon?

To find the perimeter, add together the lengths of the sides. Start at the top and work clockwise around the shape. Area of Polygon = (Area of A) + (Area of B) To find the area, divide the polygon into two separate, simpler regions.

What is the 10 sided polygon?

decagonIn geometry, a decagon is a ten-sided polygon or 10-gon.