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Is a pentagon convex?
A regular pentagon is convex. By taking a regular pentagon and shortening or lengthening one or more sides, an infinite number of possible convex pentagons can be created. A convex polygon is defined as a polygon such that all internal angles are less than or equal to 180 degrees, and a line segment drawn between any two vertices remains inside the polygon. It is possible to have non-convex (concave) pentagons; there are infinite number possible ways to do this, too.
Find the number of sides of a regular convex polygon whose angle is 40degrees?
140
Differentiate convex and non convex polygon?
A convex polygon is one with no angle greater than 180 degrees. A non-convex polygon is one that is not without such an angle.
What is the sum of the measure of the exterior angles of a convex 39-gon?
The sum of the exterior angle of ANY polygon is 360 degrees.
What is the measure of one interior angle of a regular convex 31gon?
The easiest way to calculate this is to use the facts thatthe sum of the interior and exterior angles is 180o; andthe sum of the exterior angles of any polygon is 360o.For a regular polygon, each exterior angle will be 360o divided by the number of sides. The interior angle is then 180o - the exterior angle.For a 31-gon:exterior_angle = 360° ÷ 31= 1119/31o⇒ interior_angle = 180° - 1119/31o= 16812/31°≈ 168.39oUse the Interior Angle Formula directlyThe sum of interior angles for a polygon of n sides is (n-2) x 180° and individual angles for a regular polygon will be (n-2) 180°/nPlugging in the value n=31, we have one angle = 29(180)/31 = 168.39°
What is defined to be a convex polygon with congruant sides and angles?
It is a regular polygon.
A regular polygon is defined to be a convex polygon with all sides?
with all sides equal (congruent) AND all angles equal (congruent). In these circumstnces the adjective "convex" is redundant.
Are the interior angles in a polygon equal in measure?
Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.
What is a convex polygon with all sides congruent and all angles congruent?
A convex polygon with congruent sides and congruent angles is a regular polygon.Some regular pilgrims have specific names: Equilateral triangle and square
A regular polygon is a convex polygon with all sides congruent and all angles congruent?
true
Is A regular polygon is a convex polygon with all sides congruent and all angles congruent?
Yes
Is a pentagon convex?
A regular pentagon is convex. By taking a regular pentagon and shortening or lengthening one or more sides, an infinite number of possible convex pentagons can be created. A convex polygon is defined as a polygon such that all internal angles are less than or equal to 180 degrees, and a line segment drawn between any two vertices remains inside the polygon. It is possible to have non-convex (concave) pentagons; there are infinite number possible ways to do this, too.
What are the similarities between regular polygon and a concave polygon?
A regular polygon is a special kind of convex polygon - one in which all the sides are of the same length and all the angles are equal. Convex and concave polygons form disjoint sets: so no concave polygon can be regular.
Is the sum of the interior angles of a convex polygon the same as a non-convex polygon?
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
What is apolygon that is convex?
A convex polygon is defined as a polygon with all its interior angles less than 180°. This means that all the vertices of the polygon will point outwards, away from the interior of the shape. Think of it as a 'bulging' polygon. A triangle (3-gon) is always convex.
Is a regular polygon a convex true or false?
True. A regular polygon, which has all sides and angles equal, is always convex. This means that all interior angles are less than 180 degrees, and any line segment connecting two points within the polygon lies entirely inside it.
Is a convex polygon always a regular polygon?
No, a scalene triangle, for example, is a convex poygon but it is not regular.
