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

Equations with finding principals, I need help solving principal equations ...

I need help solving principal equations where interest,rate,and time are given.

Determining and classifying all the critical points, how do you determine ...

how do you determine and classify all the critical points of a function

Postage stamp problem, Explain Postage Stamp Problem solving tehcnique? Wha...

Explain Postage Stamp Problem solving tehcnique? What is Postage Stamp Problem?

How many pages must he read before he takes a break, Joey has 30 pages to r...

Joey has 30 pages to read for history class tonight. He decided in which he would take a break while he finished reading 70% of the pages assigned. How many pages must he read befo

Pair of straight lines, find the equation of locus of point which lies on b...

find the equation of locus of point which lies on bisectors of angles between the coordinate axes

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Prove that abc=60 degree, ABC is a right triangle right-angled at C and AC=...

ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans:    Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60

Evaluate trig functions limits, Evaluate following limits. (a) (...

Evaluate following limits. (a) (b)    Solution There in fact isn't a whole lot to this limit. In this case because there is only a 6 in the denominator we'l

Geometry, Can two lines contain a given point

Can two lines contain a given point

Triangles, if P is a point in the interior of a triangles ABC,prove that AB...

if P is a point in the interior of a triangles ABC,prove that AB>BC+CA

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