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A polygon that has 104 diagonals will have 16 sides
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∙ 7y ago
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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
What is a 104 sided polygon called?
It's quite acceptable to call it a 104-agon but what's more important is knowing how to work out its properties.
What is the circumference of a circle if the diameter is 104 inches?
104 pi ~ 326.7256
How many square feet in a 8x13?
104
How many degrees in a 16 gon?
104
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?
It's quite acceptable to call it a 104-agon but what's more important is knowing how to work out its properties.
