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

Finite math, Find the present value of an ordinary annuity which has paymen...

Find the present value of an ordinary annuity which has payments of 2300 per year for 15 years at 6% compounded annually

Derivative for the trig function, Derivative for the trig function: We'll ...

Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher

Generate pairs of vertices at random , Generate a 1000 vertex graph adding ...

Generate a 1000 vertex graph adding edges randomly one at a time.  How many edges are added before all isolated vertices disappear?  Try the experiment enough times to determine ho

Simultaneous linear equations (graphical method), Steps in solving graphica...

Steps in solving graphical method of simultaneous linear equations

Function notation, Function notation: Next we have to take a rapid look at...

Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify not

Bottleneck for each product, A company makes 2 products, Product A and Prod...

A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B

Tangents with parametric equations - polar coordinates, Tangents with Param...

Tangents with Parametric Equations In this part we want to find out the tangent lines to the parametric equations given by X= f (t) Y = g (t) To do this let's first r

Find out the surface area of the solid, Find out the surface area of the so...

Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds

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