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Why is the angle in the center of a polygon always a multiple of nine?
Wiki User
∙ 6y ago
Because if you measure the angle in degrees, it is always 360 degrees. And 360 happens to be a multiple of 9.
However, to students of advanced mathematics, the angle at the centre would always be 2*pi radians which is not a multiple of 9.
Wiki User
∙ 6y ago
Wiki User
∙ 12y agoBecause if you measure the angle in degrees, it is always 360 degrees. And 360 happens to be a multple of 9.
However, to students of advanced mathematics, the angle at the centre would always be 2*pi radians which is not a multiple of 9.
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What is the measure of a central angle of a regular ten sided polygon?
the center angle of any polygon is 360 degrees
Angle at the center of a 30 sided polygon?
360 divided by 3012
What is the sum of the exterior angle of a polygon with 57 sides?
The exterior angles of any polygon always add up to 360 degrees.
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
What is an angle that faces the inside of a polygon or shape and it is formed by consecutive sides of the polygon or shape?
An internal angle of the polygon.
What polygon always has a right angle?
Any polygon with 4 or more sides can always have a right angle.
What is the measure of a central angle of a regular ten sided polygon?
the center angle of any polygon is 360 degrees
Angle formed in a regular polygon by the segments joining the center of the polygon with consecutive vertices?
an Apothem
What is the definition of central angle of a regular polygon?
an angle whose vertex is the center of the polygon and whose sides pass through adjacent vertices.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
Angle at the center of a 30 sided polygon?
360 divided by 3012
Why does a hexagon tessellate?
They tessellate because one of their interior angles is exactly 120 degrees provided that it is a regular polygon. Since this is exactly a third of a full circle, three of them will always create a 360 degree angle in the center. When you repeat this pattern, they form multiple 360 degree angles, which forms a tessellation. This is true with any polygon that has an interior angle that is a factor of 360, and this is why pentagons do not tessellate.
An interior angle of any polygon and its adjacent exterior angle are always?
equal to 180°
What is the angle sum for an 20 sided polygon?
The angle sum of a polygon is always 360 degrees. If all angles are equal, then each angle is 18 degrees. Simply divide 360 by 20.
What does a convex polygon look like?
A chevron. Basically, any polygon with an acute angle whose vertex points to the center of the shape.
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
