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Let the number of sides be n and use the formula: 1/2n(n-3) = diagonals
1/2n(n-3) = 27
Multiply both sides by 2 and then form a quadratic equation:
n2-3n-54 = 0
Solving the above quadratic equation works out as:
n = -6 or n = 9 it must be the latter because the sides can't be negative
Therefore the polygon has 9 sides.
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∙ 13y ago
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What do you call a polygon with 27 sides?
A polygon with 27 sides would be called an icosakaiheptagon.
With 27 sides how many lines of symmetry does a polygon have?
No more than 27.
How many diagonals has a nonagon have?
It has 27 diagonals
How many sides does a polygon have if the sum of its interior angles is 4500 degrees?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees So (n-2)*180 = 4500 Hence n - 2 = 4500/180 = 25 and then n = 25 + 2 = 27.
What is a 27 sided shpe called?
A 27-sided polygon would be called an icosiheptagon.
How many side are there in a convex polygon having 27 diagonals?
9 sides because a nonagon has 27 diagonals
How many diagonals are in a 9 sided polygon?
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon. So: 0.5*(81-27) = 27 diagonals
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 diagonals are in a nine sided figure?
A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.
How many diagonals in a 9 sided polygon?
It depends. It doesn't have to always be the same shape. So it can be 0, it can be 1, as long as it has straight lines and is a closed figure, it's a polygon. * * * * * What? A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.
How many diagonals does a 30 sided polygon have?
The formula used to find the number of diagonals in a polygon is n(n-3)/2. 30 x 27/2 = 810/2 = 405 diagonals.
How many diagonals does a nine sided polygon?
For an n-sided polygon, the number of diagonals is 1+2+3+....+(n-4)+2(n-3). For a nine-sided polygon, there are 1+2+3+4+5+2(6)=27 diagonals.
What do you call a polygon with 27 sides?
A polygon with 27 sides would be called an icosakaiheptagon.
With 27 sides how many lines of symmetry does a polygon have?
No more than 27.
How many sides does a polygon have if its sum totals 4500?
Assuming the sum refers to that of the interior angles, the polygon has 27 sides.
What is the formula for the number of diagonals in a nonagon?
For a 9 sided polygon it is: 0.5*(92-(3*9)) = 27 diagonals
How do you find the number of sides a polygon has when it has 27 diagonals?
Let the number of sides be x and use the diagonal formula:- 1/2*(x2-3x) = 27 Multiply both sides by 2: x2-3x = 54 Subtract 54 from both sides: x2-3x -54 = 0 Using the quadratic equation formula gives x a positive value of 9 So the polygon has 9 sides which is a nonagon
