What is polygon, Mathematics

Assignment Help:

What is polygon?

A polygon is a shape with three or more sides, in which each side touches another only at its endpoints. Some polygons that you are probably already familiar with are rectangles, squares, and triangles.

Sum of Interior Angles of a Regular Polygon
The sum of the interior angles of an n-sided regular polygon is n minus 2, times 1800 , where n represents a positive whole number.
Sum of interior angles of a polygon = 180(n-2)
Another way to remember the sum of the interior angles of a regular polygon is to cut the polygon into non-overlapping triangles by connecting vertices.
Knowing that sum of the interior angles of a triangle is 1800 , multiply the number of triangles by 1800 to get the sum of the interior angles of the polygon.

Example: Find the sum of the interior angles of a hexagon (6-sided polygon).

Again, the number of sides of a polygon is represented by n. In a hexagon, n = 6. Plug n into the formula:
180(n-2) =180(6-2) = 180.4 = 720
The sum of the interior angles of a hexagon is 7200


Related Discussions:- What is polygon

Set builder notation, For inequalities we contain a similar notation.  Base...

For inequalities we contain a similar notation.  Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus

Evaluate the measure of the larger angle, Two angles are complementary. The...

Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle. a. 36° b. 72° c. 144° d. 18°

Muptipucation, if 2+2=4 what does two times two epual?

if 2+2=4 what does two times two epual?

Give the introduction to ratios and proportions, Give the introduction to R...

Give the introduction to Ratios and Proportions? A ratio represents a comparison between two values. A ratio of two numbers can be expressed in three ways: A ratio of "one t

Argument, what is the difference between argument and principle argument

what is the difference between argument and principle argument

The definite integral- area under a curve, The Definite Integ...

The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out

Show that the ratio of the volume of the sphere, A sphere and a cube have e...

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans:    S.A. of sphere = S.A of cube    4π r 2

Shares and dividend, A man invests rs.10400 in 6%shares at rs.104 and rs.11...

A man invests rs.10400 in 6%shares at rs.104 and rs.11440 in 10.4% shares at rs.143.How much income would he get in all??

Guess my number, My thousandths digit is twice the tenths digit. My tenths ...

My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?

Relations, test is tomorrow, don''t know anything lol, please help

test is tomorrow, don''t know anything lol, please help

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd