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

Finds out the center and radius of circle, Finds out the center & radius of...

Finds out the center & radius of each of the following circles & sketch the graph of the circle. a) x 2 + y 2 = 1 b) x 2 + ( y - 3) 2  = 4 Solution In all of these

Quanitive thinking for decision making, two Indiana state senate candidates...

two Indiana state senate candidates must decide which city to visit the day before the november election. The same four cities are available for both candidates. These cities are l

Geometry, the figure is a rectangle with angle y=60. Find angle x

the figure is a rectangle with angle y=60. Find angle x

Describe multiplication and division equations, Describe Multiplication and...

Describe Multiplication and Division Equations? Multiplication Equations :  To solve multiplication equations, divide both sides of the equation by the number being multiplie

Counters and registers, design a synchronous, recycling, MOD-12 counter wit...

design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.

Decision-making under conditions of risk, Decision-making Under Conditions ...

Decision-making Under Conditions of Risk With decision-making under conditions of risk all possible states of nature are known and the decision maker has sufficient knowledge

Can u please tell me how to solve, a triangle with side lengths in the rati...

a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle.

Free - damped vibrations, We are until now going to suppose that there will...

We are until now going to suppose that there will be no external forces acting on the system, along with the exception of damping obviously. Under this case the differential equati

Integers, i do not understand the rules for adding and subtracting integers...

i do not understand the rules for adding and subtracting integers, nor do i understand how to multiply and divide

Skewness-measure of central tendency, Skewness - It is a concept which...

Skewness - It is a concept which is normally used in statistical decision making. This refers to the degree whether a described frequency curve is deviating away from the gene

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