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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.
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
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
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 convex polygon always a regular polygon?
No, a scalene triangle, for example, is a convex poygon but it is not regular.
Is the sum of interior angles of a convex polygon the same as a non convex polygon?
Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.
