A 16 sided polygon has 104 diagonals
It has: 0.5*(16squared-(3*16)) = 104 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.
(8*15)-16=104 diagonals in a 16 sided polygon.
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
A polygon that has 104 diagonals will have 16 sides
A 16 sided polygon has 104 diagonals
0.5*(162-48) = 104 diagonals
104 16x ((16-3)/2) =104
It has: 0.5*(16squared-(3*16)) = 104 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.
(8*15)-16=104 diagonals in a 16 sided polygon.
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
Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon
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
A undecagon has 44 diagonals. A dodecagon has 54 diagonals. An octagon has 20 diagonals. A heptagon has 14 diagonals.
It has 1,345,890 diagonals