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How many sides does an irregular polygon have when it has 230 diagonals showing work?
Let its sides be x and use the formula: 0.5*(x squared-3x) = 230
So: x squared-3x-460 = 0
Solving the quadratic equation gives x positive value of 23
Therefore the polygon has 23 sides irrespective of it being a regular or an irregular polygon.
Check: 0.5*(23^2-(3*23)) = 230 diagonals
What else can I help you with?
Who many angles does a Irregular polygon have?
an irregular polygon is a polygon that is the opposite of a regular polygon in a regular polygon the sides are the same and the angles are the same and irregular is the opposite.
What do you call a polygon with uneven sides?
an Irregular Polygon
What is the formula to determine the number of diagonals in a polygon?
It is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
How many diagonals does a convex polygon with 23 sides have?
A polygon with n sides has n*(n - 3)/2 diagonals. So n = 23 gives 23*20/10 = 230 diagonals
What polygon has 5 unequal sides?
"What polygon has 5 unequal sides?" An irregular pentagon is a polygon that has 5 unequal sides.
What regular polygon has 27 diagonals?
It has 9 sides and it can be an regular or a irregular polygon which is called a nonagon Check: 0.5*(81-27) = 27 diagonals
How many sides does an irregular polygon have if it has 135 diagonals?
Let the number of sides be x and by solving the equation for diagonals 0.5(x*x-3x) = 135 the solution is -15 or 18 and so therefore it has 18 sides irrespective if it is an irregular or a regular polygon
How many diagonals are there in a polygon of 11 sides?
how many diagonals are there iin a polygon of 11 sides
What type of polygon has 20 diagonals?
A regular octogon (8 sides) has 20 diagonals. An irregular octogon also has 20 diagonals, but only if all its points point outwards.
104 diagonals polygon?
A polygon that has 104 diagonals will have 16 sides
How many diagonals does a polygon with 3 sides have?
That polygon is called a "triangle". It has no diagonals.
How many sides are there in the polygon if the number of diagonals is twice as the number of sides?
A 7 sided polygon has 14 diagonals
What are the total diagonals in an irregular polygon whose interior angles add up to 1980 degrees showing all work?
Suppose the polygon has V vertices.Then sum of interior angles is (V - 2)*180 degrees = 1980 degrees => V - 2 = 1980/180 = 11 => V = 13 A polygon with V vertices has V*(V-3)/2 = 13*10/2 = 65 diagonals.
How many sides does an irregular polygon have if it has 252 diagonals showing work?
Let its sides be x and rearrange the diagonal formula into a quadratic equation:- So: 0.5(x^2-3x) = 252 Then: x^2-3n-504 = 0 Solving the quadratic equation: gives x a positive value of 24 Therefore the polygon has 24 sides irrespective of it being irregular or regular
The number of diagonals that can be drawn in a polygon with n sides can be determined by nn - 32 How many diagonals can be drawn in a polygon with 10 sides?
38 diagonals
How many diagonals are in a polygon with 14 sides?
There are 77 diagonals
What polygon has twice as many diagonals as sides?
An heptagon has 7 sides and 14 diagonals
