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How do you find the radius of a polygon?
Radius of regular polygon is the distance from center to any vertex and same for every vertex. It is calculated using the length of the side and the number of sides of the polygon is calculated using radius = Side/(2*sin((180*pi/180)/Number of Sides)).
What is a radius of a polygon?
The radius of a regular polygon is a segment with one endpoint at the center and the other endpoint at one of the vertices. Thus, there are n radii in an n-sided regular polygon. The center and radius of a regular polygon are the same as the center and radius of a circle circumscribed about that regular polygon.
How do you find the radius of an irregular polygon?
Here’s a trig formula that will work if you know the radius of the polygon (distance from the center to any vertex): A = r²n [sine(360°/n)] / 2, where r is the radius, and n is the number of sides.
Is the apothem equal to the side?
2. Is the Apothem Equal to the Side Length? No, an apothem’s length is not always equal to its side length. However, if we know the side length of a polygon, the apothem can be calculated.
Is the apothem the radius?
An apothem of a regular polygon will always be a radius of the inscribed circle. It is also the minimum distance between any side of the polygon and its center.
What is the length of the radius of the regular polygon?
The radius of a regular polygon is the distance from the center to any vertex. It will be the same for any vertex. The radius is also the radius of the polygon’s circumcircle, which is the circle that passes through every vertex. In this role, it is sometimes called the circumradius.
How to calculate the radius of a polygon?
Radius given the length of a side. By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the radius is given by the formula: Radius given the apothem (inradius): If you know the apothem (or inradius) (distance from the center to the midpoint of a side): While you are here..
How to find the formula for regular polygon area?
If you know the length of one of the sides, the area is given by the formula: To see how this equation is derived, see Derivation of regular polygon area formula . 2. Given the radius (circumradius) To see how this equation is derived, see Derivation of regular polygon area formula .
How to find the center of a polygon?
Each corner of a polygon must be at equal distance from the center of the circumscribing circle. So, find equation for perpendicular bisectors of any to sides of the polygon. Intersection of perpendicular bisectors will give you the center of the circle.