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(n x n - 3n)/2

(24 x 24 - 3x24)/2

(576 - 72)/2

504/2

= 252

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Q: How many diagonals does a 24 side polygon have?
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Related questions

How many diagonals in nonagon?

24 diagonals


How many diagonals are in a 24-gon?

252 diagonals


How many diagonals that can be drawn in an octagon?

0.5*(82-24) = 20 diagonals


How many diagonals does a 8 sided polygon have?

An eight-sided polygon has 8 vertices. Consider1st vertex = 7 diagonals to other vertices2nd vertex = 6 diagonals to other vertices (since one has now been used)3rd vertex = 54th vertex = 45th vertex = 36th vertex = 27th vertex = 18th vertex = 0, so7+6+5+4+3+2+1 = 28Improved Answer:-Formula for finding diagonals of a polygon 0.5*(n2-3n) when n is the number of sides0.5*(82-24) = 20 diagonals


How many sides does a n side polygon have?

An n-sided polygon or n-gon, just like it sounds, has n sides. For example, a 13-sided polygon has 13 sides. A 24-gon has 24 sides.


Why do you subtract 2 when calculating the interior degrees of a 24 sided polygon?

Basically when you have a 24 sided polygon you can split it up into 22 separate, non-overlapping triangles by drawing diagonals. Each triangle has 180 degrees, so the product, 22 times 180, gives you the sum of the interior angles of the 24 sided polygon.


A regular polygon measures 24 how many sides does the polygon have?

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What is the interior angle of a twenty-four-sided polygon?

If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.


How many lines of symmetry in a 24 sided regular polygon?

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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


How many sides does a polygon have if the exterior angle is 15 degree?

Providing that it's a regular polygon then: 360/15 = 24 sides