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What does this mean when a circle is inscribed in a regular polygon?
Wiki User
∙ 13y ago
Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.
Wiki User
∙ 13y ago
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How do you find out if the polygon of a circle is regular or not?
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
What does it mean for a circle to be inscribed in a polygon?
the circle is tangent to each side of the polygon And it's located within the polygon
What is a polygon within a circle?
If you mean that all the vertices of the polygon touch the circle, it is called an inscribed polygon.You might also be thinking of a cyclic quadrilateral:see http://en.wikipedia.org/wiki/Cyclic_quadrilateral.
How do you find the arc length of a circle that has an inscribed polygon?
What do you mean by "arc length of a circle"? If you mean the arc length between two adjacent vertices of the inscribed polygon, then: If the polygon is irregular then the arc length between adjacent vertices of the polygon will vary and it is impossible to calculate and the angle between the radii must be measured from the diagram using a protractor if the angle is not marked. The angle is a fraction of a whole turn (which is 360° or 2π radians) which can be multiplied by the circumference of the circle to find the arc length between the radii: arc_length = 2πradius × angle/angle_of_full_turn → arc_length = 2πradius × angle_in_degrees/360° or arc_length = 2πradius × angle_in_radians/2π = radius × angle_in_radians If there is a regular polygon inscribed in a circle, then there will be a constant angle between the radii of the circle between the adjacent vertices of the polygon and each arc between adjacent vertices will be the same length; assuming you know the radius of the circle, the arc length is thus one number_of_sides_th of the circumference of the circle, namely: arc_length_between_adjacent_vertices_of_inscribed_regular_polygon = 2πradius ÷ number_of_sides
What does it mean when you say a polygon is regular?
A polygon is regular when all its sides are the same length and its internal angles are the same. It is said to be equilateral and equiangular, and that is what a polygon is when it is regular.
What is the difference between regular and irregular pentagons?
regular polygon mean equal sides, equal angles irregular polygon mean it is not equal :)
What does Regular and Quadrilateral mean?
A regular polygon has all sides equal in lengths. A quadrilateral is a 4 sided polygon.
What does it mean or a polygon to be regular?
A regular polygon has all equal interior angles and all equal sides of the same length
What does regular polygon mean?
All the sides are not equal
What is and ill regular polygon?
If you mean an irregular polygon, it is a polygon with sides of different length or angles of different measure (or both).
What does non-regular polygon mean?
All the sides are not equal
What kind of polygon is a loonie?
I assume that, by "Loonie", you mean the Canadian coin. Strictly speaking, it is not a polygon because its sides are not straight lines but if they were, it would be a regular hendecagon - an 11-sided regular polygon.
