Geometry

# How many sides are in a convex polygon?

###### Wiki User

###### 2011-01-19 23:56:56

it has four sides

## Related Questions

###### Asked in Geometry, Trigonometry, Probability

### What is a convex hexagon?

a polygon with 6 sides
* * * * *
The fact that is has six sides makes it a hexagon but that does
not explain ""convex". A convex polygon is one in which none of the
angles is a reflex angle. An alternative definition of convex is
that a line joining any two points inside the hexagon is wholly
inside the shape.

###### Asked in Geometry

### What is the sum of the interior angles of a convex polygon?

The sum of the interior angles of a convex polygon is 180*(n-2)
degrees, where n is the number of vertices and angles.
That depends on how, many sides the polygon has.
-- Subtract 2 from the number of sides.
-- Multiply that number by 180.
-- The result is the sum of the interior angles in that
polygon.
It doesn't matter whether the sides of the polygon are all equal
("regular" polygon), or
whether it's all funny and squashed. You only need to know the
number of sides it has.

###### Asked in Geometry

### What is the sum of the interior angle of a 13-sided polygon?

The sum of the interior angles of a triangle is 180 deg.
For a convex polygon with n sides we can divide it to n-2
triangles.
So the answer, if the polygon is convex, is (13-2)*180= 1980
deg
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The polygon need not be convex. The formula for the sum of the
interior angles is valid as long as the polygon is simple - that
it, its sides do not cross each other inside the polygon.