0
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Rafa
DevinAdd your answer:
Earn +20 pts
How many sides does a polygon have with 252 diagonals?
To determine the number of sides ( n ) in a polygon with 252 diagonals, we use the formula for the number of diagonals in a polygon: ( D = \frac{n(n-3)}{2} ). Setting this equal to 252 gives us the equation ( \frac{n(n-3)}{2} = 252 ). Solving this leads to ( n(n-3) = 504 ), or ( n^2 - 3n - 504 = 0 ). The positive solution to this quadratic equation is ( n = 24 ), so the polygon has 24 sides.
How many diagonals that can be drawn in an octagon?
0.5*(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.
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.
