For a regular n-sided polygon with sides of length s, the formula is:
A = (n*s^2) / (4*tan(180/n))
By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon
By using the polygon diagonal formula or the quadratic equation formula in which in both formulae they work out that the polygon in question has 21 sides.
We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.
Number of diagonals in a polygon with n sides is n*(n-3)/2 A pentadecagon has 15 sides, so n = 15 Number of diags = 15*12/2 = 90
Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon
By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
A polygon with 653 sides is called a "653-gon." In geometry, polygons are typically named based on the number of their sides, using a numerical prefix followed by the suffix "-gon." Therefore, for a polygon with 653 sides, the naming convention directly reflects its number of sides.
By using the polygon diagonal formula or the quadratic equation formula in which in both formulae they work out that the polygon in question has 21 sides.
Using the formula: 1/2*(n2-3n) whereas 'n' is the number of sides of the polygon
We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.
The sum of the interior angles of any polygon can be determined by using the formula (n-2)180, where n=the number of sides of that polygon. For example, you can calculate the sum of the interior angles of a polygon with five sides (a pentagon): (n-2)180 (5-2)180 3x180 540 So, the sum of the interior angles of a pentagon is 540.
You can find the number of diagonals in a polygon using the formula n(n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals.
A nectagon is a polygon with nine sides and nine angles. It is a type of nonagon, which is a polygon with any number of sides greater than four. The sum of the interior angles of a nectagon is 1260 degrees, calculated using the formula (n-2) x 180, where n represents the number of sides.
If it is a regular polygon--meaning that all the sides are congruent and all the angles are congruent, then the formula for area of the polygon is A=1/2 ap Here a represents the apothem, which is the distance from the center of the polygon to the midpoint of one side. p represents the perimeter of the polygon found by multiplying one side length by the number of sides. If you only know one variable such as side length, you can find the perimeter and you can find the apothem using trigonomety.
The formula is normally: (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
The primary classification of a polygon is according to the number of sides (or vertices) that it has.If all the sides are of equal length and all the angles are of the same measure then it is a regular polygon.If any of the angles is a reflex angle then it is a concave polygon, otherwise it is convex.