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A polygon that has 104 diagonals will have 16 sides

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Q: 104 diagonals polygon
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Related questions

Has 104 diagonals?

A 16 sided polygon has 104 diagonals.


What is the name of a regular polygon that has 95 diagonals?

There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.


16 sided figure diagonals?

A 16 sided polygon has 104 diagonals


A polygon with 16 sides has how many diagons?

(8*15)-16=104 diagonals in a 16 sided polygon.


How many diagonals from one vertex in 16gon?

Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon


How many diagonals does a regular polygon have when an interior angle is 157.5 degrees?

Exterior angle: 180-157.5 = 22.5 degrees Number of sides: 360/22.5 = 16 Using the diagonal formula: 0.5*(162-48) = 104 diagonals


How many diagonals does a 16 sided figure have?

0.5*(162-48) = 104 diagonals


How many diagonals does a 16 gon has?

104 16x ((16-3)/2) =104


How many diagonals intersect a 16-gon?

It has: 0.5*(16squared-(3*16)) = 104 diagonals


How do you find the number of sides a polygon has when it has 104 diagonals?

Let the number of sides be x and use the diagonal formula: 1/2*(x2-3x) = 104 Multiply both sides by 2: x2-3x = 208 Subtract 208 from both sides: x2-3x-208 = 0 Solving the above by means of the quadratic equation formula gives x a value of -13 and 16 so it must have 16 sides Check: 1/2*(162-(3*16)) = 104 diagonals


Can a Square have 104 sides?

No, a square by definition can have only 4 sides. A polygon is a plane figure bounded by straight lines. A polygon can have any number of sides (minimum 3) and therefore a 104-sided polygon can be created.


What is a 104 sided polygon called?

A 104-sided polygon is called a hecatontakaitetragon. The naming convention for polygons follows the Greek numerical prefixes for the number of sides, with "hecta" meaning 100 and "takaitetra" meaning 4. Therefore, a 104-sided polygon combines these prefixes to form its name.