The area of a regular decagon can be calculated using the formula for finding the area of a general regular polygon. Area of a Regular Polygon = 12 x Perimeter x Apothem. The diagram of a regular decagon ABCDEFGHIJ is given above. Just like any other regular polygon, a regular decagon can also be inscribed in a circle..
People also ask, how do you find the area with the Apothem?
To find the apothem, divide the length of one side by 2 times the tangent of 180 degrees divided by the number of sides. To find the perimeter, multiply the length of one side by the total number of sides. Once you've found the apothem and the perimeter, plug them into the formula for area and solve.
how do u find the area of a regular polygon? 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.
Also, what is the formula for the area of a dodecagon?
The Area of a Dodecagon formula, (Adodecagon=3(2+√3)•s2), computes the area of a regular dodecagon, a polygon with 12 equal sides of length (s).
What is the formula for Apothem?
We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.
Related Question Answers
What is the area of a quadrilateral?
Area = (Side 1 × Side 2) × sin (angle) or A = (s1 × s2) × sin(θ) (where θ is the angle between sides 1 and 2). Example: You have a kite with two sides of length 6 feet and two sides of length 4 feet. The angle between them is about 120 degrees.What is the formula for area?
The most basic area formula is the formula for the area of a rectangle. Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width.What is the area of this trapezoid?
Area of a Trapezoid Formula. Multiplying times 12 is the same as dividing by 2. We take half the sum of the length of the two bases (their average) and then multiply that by the altitude, or height, to find the area in square units.What is the formula for finding the area of a pentagon?
Using a Formula. Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.What is Apothem of a polygon?
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word "apothem" can also refer to the length of that line segment.What is the formula for interior angles?
An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.What is the Apothem of a square?
The apothem of a square is equal to half of the length of one side.How do you work out the area of an irregular pentagon?
To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon.How do you find the area of a regular polygon with an Apothem?
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 hexagon with an Apothem?
Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem. Write down the apothem.How do you find the area of a Heptagon with an Apothem?
When viewing a regular heptagon, the line going from the center point to the middle of one of the sides is the apothem. This is needed to determine the area of the heptagon. As long as the length of the sides is known, the apothem can be determined by using the formula: apothem= s/2 tan (180/n).How do you find the area of a octagon with an Apothem?
Since there are as many of these triangles as the polygon has sides (eight for an octagon), you have to multiply the area of this triangle by the number of sides. You will obtain the total area of the octagon: area of octagon = 8 * base * height / 2 = perimeter * apothem / 2 .How do you find the perimeter and area of a polygon?
To find the perimeter, add together the lengths of the sides. Start at the top and work clockwise around the shape. Area of Polygon = (Area of A) + (Area of B) To find the area, divide the polygon into two separate, simpler regions.What is an 11 sided shape called?
In geometry, a hendecagon (also undecagon or endecagon) or 11-gon is an eleven-sided polygon. (The name hendecagon, from Greek hendeka "eleven" and –gon "corner", is often preferred to the hybrid undecagon, whose first part is formed from Latin undecim "eleven".)What is a 100 sided shape called?
Polygons are named after the number of sides that they have. A 100-sided polygon is called a hectogon. Take the hundreds digit, find it on the column for ones digits, then stick a "hecta" to its right. Now number off the tens and ones like above: (hundreds)hecta(tens)kai(ones)gon .What is 12 sided polygon called?
In geometry, a dodecagon or 12-gon is any twelve-sided polygon.What is a 20 Gon?
In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.What do you call a 18 sided polygon?
Octadecagon. An 18-sided polygon, sometimes also called an octakaidecagon.Is a circle a polygon?
Polygons. A polygon is a closed plane figure with three or more sides that are all straight. The following figure is not a polygon as it is not a closed figure. A circle is not a polygon as it does not have straight sides. 
