How to Work Out How Many Sides a Polygon Has

As it is a regular polygon all exterior angles are equal and are 30o. Therefore your polygon has 10 sides.

Find The Number Of Sides Of Polygon From Sum Of Interior Angles Youtube

Text exterior angle of a polygon 360 div text number of sides Remember the interior and exterior angle add up to 180.

. The name tells you how many sides the shape has. For example if the exterior angle is 60 degrees then dividing 360 by 60 equals 6 which is the number of sides the polygon has. That yields an interior angle of 180 - 133333333 which equals 166666666667 or 166 and 23 degrees.

The sum of any triacontagons interior angles is 5040 degrees. Most have five or more. A polygon with 27 sides will yield an exterior angle of 360 27 133333333 or 13 and 13 degrees.

S 180 n 2 where n is the number of sides If the sum is 900 we have. Work out how many sides the polygon has. How many sides does a polygon have if the sum of the interior angles is 5400.

28 The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. A very useful property to know of any polygon whether regular or irregular is that the sum of the exterior angles is always 360. How many sides does a polygon have if the sum of the interior angles is 5040.

Triangles quadrilaterals pentagons and hexagons are all examples of polygons. Sum of exterior angles of every polygon irrespective of number of its sides is 360o. The interior angleFirst find the exterior angle of the polygon.

You can use the formula for finding the sum of the interior angles. For any polygon the sum of the exterior angles is 360 degrees. If you know the interior angle you just reverse the process to get the number.

Using this property if you know the size of the exterior angle you can find the number of sides. So n-2 2160180 12 or n14. 3060 180n divide both sides of this equation by 180 to get.

There are 7 sides. The word polygon comes from the Greek roots poly meaning many and gon meaning angle. The polygon has six sides which is the number of sides it has.

Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The formulas below give the length of the side of regular polygon given the number of sides and either the radius or apothem.

The formula for calculating the size of an exterior angle is. Divide 360 by the difference of the angle and 180 degrees. 2700 n-2180 simplify to get.

The sum of interior angles div number of sides. Introducing exterior angles in a polygon and using them to work out how many sides a regular polygon has. Given that s 2700 this equation becomes.

N the number of sides of the polygon. When naming polygons the appropriate Greek number replaces the root for the. Then subtract 180- 144 and you will get 36.

N 3060180 17 the polygon has 17 sides. The formula for calculating the size of an interior angle in a regular polygon is. You can find how many sides and therefore vertices in the polygon by dividing 360 by 15.

180 n 2 900. When measuring the outside angle for example if the measurement is 60 degrees dividing 360 degrees by 60 degrees gets the number 6. Each interior angle of this polygon 270017 1588235294.

For example a triangle has three sides and a quadrilateral has four sides. Then divide 36 by 360 and get 10. A polygon is a plane figure that has at least three straight sides and angles according to Oxford Dictionaries.

Try this Adjust the regular polygon below by dragging any orange dot or alter the number of sides. 2700 180n - 360 add 360 to both sides of this equation to get. The sides of a regular polygon are the line segments that make it up.

For a regular polygon the size of each exterior angle θ can be found from. In this case the polygon has 36015 24. For the example 360 divided by 15 equals 24 which is the number of sides of the polygon.

Hence number of sides of the polygon is 360o30o 12. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. With a regular polygon these are all the same so divide 360o by the exterior angle and it will give you the number of sides.

The number of diagonals in any polygon is n n32. θ 360 n where n number of sides. Hence the polygon has 32 sides.

If you divide 360 by the quantity of the outside angle you may also figure out how many sides there are on the polygon. Click to see full answer. In geometry a triacontagon or 30-gon is a thirty-sided polygon.

However polygons can have more than three sides. To calculate the number of sides of the polygon divide 360 by the amount of the exterior angle. The length of the sides will change.

So that would equal 144. Given that this is equal to 27 we have that n n322754. Six is the number of sides that the polygon has.

The first way is to take 360 and divide it by the number of sides and then get the supplement of that. Now you could just try values of n until you find one that works shouldnt take too long or you could solve the quadratic equation if you know how to do that. For example if the measurement of the exterior angle is 60 degrees then dividing 360 by 60 yields 6.

The sum of the exterior angles of a polygon is 360. Do the average of 162 and 126. A polygon of n sides doesnt have to be regular has interior angle sum of 180 n-2 degrees.

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