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If the polygon (convex or concave) has n sides, then the sum of its interior angles is 180*(n-2) degrees.
The sum of its exterior angles is 360 degrees - irrespective of the number of sides.
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What is the difference between a concave polygon and a convex polygon?
Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.
Is a square a convex polygon?
Yes it is. It is surely a polygon and convex means all interior angles are less than a straight angle ( i.e.180 degrees).
Can a polygon be equilateral and equiangular but not convex?
No. A non-convex polygon must have at least one reflex angle (between 180 and 360 degrees). But by equiangularity, all the angles of the polygon would have to be reflex. On a plane surface this is not possible.
How do you find the exterior angle of a regular polygon with 16 sides?
You divide 360 by 16. For the exterior angle of any regular polygon, just divide 360 by the number of sides because the exterior angle of all regular (possibly all convex polygons, but I'm not sure on that point) add up to 360 degrees. The answer is: 22.5 degrees.
What is the difference between a regular polygon and a concave polygon?
A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.
What is the difference between a concave polygon and a convex polygon?
Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.
Is a square a convex polygon?
Yes it is. It is surely a polygon and convex means all interior angles are less than a straight angle ( i.e.180 degrees).
What is the sum of all the interieor angles of a polygon?
180x(N-2)(interior angle) All polygon of the sums of exterior angles is 360. (if convex)
What is the sum of all the interior angles in a polygon?
180x(N-2)(interior angle) All polygon of the sums of exterior angles is 360. (if convex)
Can a polygon be equilateral and equiangular but not convex?
No. A non-convex polygon must have at least one reflex angle (between 180 and 360 degrees). But by equiangularity, all the angles of the polygon would have to be reflex. On a plane surface this is not possible.
How do you find the exterior angle of a regular polygon with 16 sides?
You divide 360 by 16. For the exterior angle of any regular polygon, just divide 360 by the number of sides because the exterior angle of all regular (possibly all convex polygons, but I'm not sure on that point) add up to 360 degrees. The answer is: 22.5 degrees.
What is the difference between a regular polygon and a concave polygon?
A regular polygon has all its sides equal and all its angles equal. One consequence is that no angle can be reflex (between 180 and 360 degrees). A concave polygon, on the other hand, must have at least one angle that is a reflex angle. The line joining any two points inside any convex polygon (and that includes regular ones) must lie wholly within the polygon. In a concave polygon, it must be possible to find two point inside the polygon such that the line joining them crosses the boundaries of the polygon.
Is a star a convex polygon?
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
Explain how to tell whether a polygon is a convex?
If, for any two points A and B in the polygon, all points with position A + kB are inside the polygon for 0 ≤ k ≤ 1, then the polygon is convex. In simple terms, if all points on the line AB lie inside the polygon, it is convex. If there is at least one point on AB that is outside the polygon then it is not a convex polygon.
What is a polygon where all diagonals lie on its interior?
A convex polygon.
What is the sum of all the angles in a convex hexagon?
The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.
Is a convex heptagon a polygon where all sides and angles are congruent?
Not necessarily. A convex heptagon is a polygon but it need not have all sides and angles congruent.
