Table of Contents
How do you find the area with an apothem and side length?
You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.
How do you find the area of a side with an apothem and a pentagon?
The formula that is used to find the area of a pentagon using the apothem and side length is, Area = 5/2 × s × a. Here, “s” is the side length and “a” is the. Observe the following pentagon to see the apothem ‘a’ and the side length ‘s’.
How do you find the area of a polygon with 9 sides?
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.
How do you find the area of a dodecagon?
Area of a Dodecagon
- Dodecagon is a 12-sided polygon with 12 angles and 12 vertices.
- The sum of the interior angles of a dodecagon is 1800°.
- The area of a dodecagon is calculated with the formula: A = 3 × ( 2 + √3 ) × s2
- The perimeter of a dodecagon is calculated with the formula: s × 12.
Is a nonagon a regular polygon?
In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon….Nonagon.
| Regular enneagon (nonagon) | |
|---|---|
| A regular enneagon (nonagon) | |
| Type | Regular polygon |
| Edges and vertices | 9 |
| Schläfli symbol | {9} |
How many vertices have a nonagon?
9
Nonagon/Number of vertices
Is a Nonagon regular?
Nonagons are just one type of polygon that has nine sides. These are both examples of regular polygons, shapes with equal-length sides and equal angles and irregular polygons, shapes with unequal-length sides and angles.
How do you find the area of a nonagon with only the apothem?
To get the area, multiply the perimeter of the nonagon by the apothem and then divide by 2. You get the perimeter by multiplying 4 by 9, getting 36. The apothem is 4/(2Tan(180/9)), which equals 5.5. Now you get area = (5.5 x 36)/2, which is 99.
How do you find the area of a nonagon?
This Area of a Nonagon formula, ( A =9/4•cot (π/9)•s2 ), computes the area of a regular nonagon, a polygon with 9 equal sides of length ( s ). Regular Nonagon INSTRUCTIONS: Choose your length units (e.g. feet or meters), and enter the following:
What is the apothem of an irregular nonagon?
An irregular nonagon can have vitually infinite posibles shapes, Despite this all have 9 sides. The apothem it´s the distance between the center of the geometric figure and the closest point in the figure to the center. It is the space of the internal surface in a figure, it is limited for the perimeter.
How many equal sides does a nonagon have?
A regular nonagon has nine equal sides and equal angles. Area of a Circle – Multiple functions to compute the area of a circle or portions of a circle. Area of Polygon – Any number of sides (n).
How is the area of An apothem calculated?
You can also see that these Apothem’s are in fact the radius of a circle inscribed in the nonagon (constructed in green). The Area of the nonagon is calculated by first finding the area of one of the Isosceles Triangles created by one side of the octagon, and two lines constructed from the center point to each vertex.