Question: How Many Degrees Does An N Sided Polygon Have?

How do you find the angle of an N sided polygon?

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides.

The problem concerns a polygon with twelve sides, so we will let n = 12.

The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800..

How many degrees are in a polygon?

The General RuleShapeSidesSum of Interior AnglesTriangle3180°Quadrilateral4360°Pentagon5540°Hexagon6720°6 more rows

What is an n sided polygon?

An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly.

What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

What’s a 6 sided shape called?

hexagonMore than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

How many degrees is a hexagon?

120°HexagonRegular hexagonCoxeter diagramSymmetry groupDihedral (D6), order 2×6Internal angle (degrees)120°Dual polygonSelf5 more rows

How many degrees does a 15 sided polygon have?

156°PentadecagonRegular pentadecagonCoxeter diagramSymmetry groupDihedral (D15), order 2×15Internal angle (degrees)156°Dual polygonSelf5 more rows

What does N Gon mean?

A polygon with n sides. For example, an 8-gon is another name for an octagon. See also. Triangle, quadrilateral, pentagon, hexagon, heptagon, nonagon, decagon, undecagon, dodecagon.

What is an sided shape?

In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. These segments are called its edges or sides, and the points where two edges meet are the polygon’s vertices (singular: vertex) or corners.

How many degrees are in a 12 sided shape?

DodecagonRegular dodecagonSymmetry groupDihedral (D12), order 2×12Internal angle (degrees)150°Dual polygonSelfPropertiesConvex, cyclic, equilateral, isogonal, isotoxal5 more rows

How many diagonals are there in an N sided polygon?

The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).