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

Determine the number of blue balls in the bag, A bag contains 5 red balls a...

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.

Union and intersection - set theory, Union and Intersection - Set theory ...

Union and Intersection - Set theory B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C If B = {5, 8, 11, 20, 2

Find the time required for an enlargement, 1. The polynomial G(x) = -0.006x...

1. The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase

Find the number of zeros of the polynomial, Find the number of zeros of the...

Find the number of zeros of the polynomial from the graph given. (Ans:1)

Least common denominator of rational expression, Perform the denoted operat...

Perform the denoted operation.                    (4/6x 2 )-(1/3x 5 )+(5/2x 3 ) Solution For this problem there are coefficients on each of term in the denominator thus

Find out how much acid solution mixed, A chemist has one solution which is ...

A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.

Number of permutations of ''n'' dissimilar things , Finding the numbe...

Finding the number of Permutations of 'n' dissimilar things taken 'r' at a time:  After looking at the definition of permutations, we look at how to evolve a

Permutations and combinations, number of ways that a mixed doubles tennis g...

number of ways that a mixed doubles tennis game can be arranged from 7 couples if no husband and wife play in the same game is??

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