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Area of Decagon given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5)))
A = (5/2)*((P/10)^2)*(sqrt(5+2*sqrt(5)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5/2)*((P/10)^2)*(sqrt(5+2*sqrt(5))) --> (5/2)*((20/10)^2)*(sqrt(5+2*sqrt(5)))
Evaluating ... ...
A = 30.7768353717525
STEP 3: Convert Result to Output's Unit
30.7768353717525 Square Meter --> No Conversion Required
FINAL ANSWER
30.7768353717525 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

10+ Area of Decagon Calculators

Area of Decagon given diagonal across three sides
area = (5/2)*(((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across two sides
area = (5/2)*(((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across four sides
area = (5/2)*((Diagonal across four sides/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given height
area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across five sides
area = (5/2)*((Diagonal across five sides/((1+sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given circumradius
area = (5/2)*(((2*Radius)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given perimeter
area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon
area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given side length and central angle
area = (5*(Side)^2)/(2*tan(Angle A/2)) Go
Area of Decagon given inradius and side length
area = 5*Side*Inradius Go

Area of Decagon given perimeter Formula

area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5)))
A = (5/2)*((P/10)^2)*(sqrt(5+2*sqrt(5)))

What is a decagon

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Area of Decagon given perimeter?

Area of Decagon given perimeter calculator uses area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5))) to calculate the Area, The Area of decagon given perimeter formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, perimeter = perimeter of decagon. Area and is denoted by A symbol.

How to calculate Area of Decagon given perimeter using this online calculator? To use this online calculator for Area of Decagon given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Area of Decagon given perimeter calculation can be explained with given input values -> 30.77684 = (5/2)*((20/10)^2)*(sqrt(5+2*sqrt(5))).

FAQ

What is Area of Decagon given perimeter?
The Area of decagon given perimeter formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, perimeter = perimeter of decagon and is represented as A = (5/2)*((P/10)^2)*(sqrt(5+2*sqrt(5))) or area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5))). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of Decagon given perimeter?
The Area of decagon given perimeter formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, perimeter = perimeter of decagon is calculated using area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5))). To calculate Area of Decagon given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area?
In this formula, Area uses Perimeter. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • area = 5*Side*Inradius
  • area = (5*(Side)^2)/(2*tan(Angle A/2))
  • area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*((Diagonal across five sides/((1+sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*((Diagonal across four sides/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*(((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*(((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))
  • area = (5/2)*(((2*Radius)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5)))
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