# How do you know if a polygon is convex or concave?

Every

**polygon**is either**convex**or**concave**. The difference between**convex**and**concave polygons**lies in the measures of their angles. For a**polygon**to be**convex**, all of its interior angles must be less than 180 degrees. Otherwise, the**polygon is concave**.A.

### What is a concave polygon shape?

A

**concave polygon**is a**polygon**that is not convex. A simple**polygon**is**concave**iff at least one of its internal angles is greater than . An example of a non-simple (self-intersecting)**polygon**is a star**polygon**. A**concave polygon**must have at least four sides.#### Is a hexagon concave or convex?

Concave or Convex. A convex hexagon has no**angles**pointing inwards. More precisely, no internal**angles**can be more than 180°.#### What is not a regular polygon?

The simplest**polygon**is a triangle (a 3-sided shape).**Polygons**of all types can be**regular**or**irregular**. A**regular polygon**has sides of equal length, and all its interior angles are of equal size.**Irregular polygons**can have sides of any length and angles of any size. In fact, they are the only**polygons**which do.#### What is the definition of equiangular polygon?

In Euclidean geometry, an**equiangular polygon**is a**polygon**whose vertex angles are equal. If the lengths of the sides are also equal (that is, if it is also equilateral) then it is a regular**polygon**. Isogonal**polygons**are**equiangular polygons**which alternate two edge lengths.

B.

### Is a square a convex or concave?

A polygon is a closed shape with straight sides. A

**concave**polygon is one that has at least one angle larger than 180 degrees, causing the polygon to 'gape open' at the corners where whose angles occur. A**convex**polygon is one whose angles are all smaller than 180 degrees.#### Is a circle a convex?

The interiors of**circles**and of all regular polygons are**convex**, but a**circle**itself is not because every segment joining two points on the**circle**contains points that are not on the**circle**. A set in a space that is not**convex**is called a concave set.#### How many sides are there in a convex polygon?

The sum of the exterior angles of any convex polygon is**360**degrees. That means that if you have n sides, then each exterior angle of a regular polygon is**360**/n. If you can find out how the exterior angle is related to the interior angle, you can finish the solution.#### Which polygon has an interior angle sum of 1080?

The sum of the interior angles in a regular polygon is given by the formula**180**(n – 2), where n is the number of sides in the polygon. An octagon has**eight**sides, so the sum of the angles of the octagon is**180**(8 – 2) =**180**(6) = 1080 degrees.

Updated: 3rd December 2019