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

Solve factors for given equations, 1/a+b+x  =1/a+1/b+1/x    a+b ≠ 0 ...

1/a+b+x  =1/a+1/b+1/x    a+b ≠ 0 Ans: 1/a+b+x  =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒  x - ( a + b + x )/ x ( a + b + x )   = + a + b/ ab ⇒

Linear algebra, Let A be an n×n matrix. Then Show that the set U = {u?R^n ...

Let A be an n×n matrix. Then Show that the set U = {u?R^n : Au = -3un} is a Subspace of R^n

Determine the area of the shaded region, The diagram below shows the cross ...

The diagram below shows the cross section of a pipe  1/2  inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i

Demonstrate that dijkstra algorithm - digraph, Demonstrate that Dijkstra's ...

Demonstrate that Dijkstra's algorithm does not necessarily work if some of the costs are negative by finding a digraph with negative costs (but no negative cost dicircuits) for whi

What is angles, What is Angles? An angle is made up of two rays with a ...

What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li

Unipolar and bipolar boolean inputs, A 4-input Neuron has weights (1,-1,  0...

A 4-input Neuron has weights (1,-1,  0,  0.5.Calculate the network output when the following input vectors are applied. For calculation assume: a. f(net) = unipolar bina

Circle, prove the the centre of a circle is twice of reference angle

prove the the centre of a circle is twice of reference angle

Unit rates with fractions, a math problem that involves the numbers $112 fo...

a math problem that involves the numbers $112 for 8 hours

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