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Area of Decagon given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))
A = (5/2)*((h/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5/2)*((h/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))) --> (5/2)*((12/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))
Evaluating ... ...
A = 116.971090643846
STEP 3: Convert Result to Output's Unit
116.971090643846 Square Meter --> No Conversion Required
FINAL ANSWER
116.971090643846 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 height Formula

area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))
A = (5/2)*((h/((sqrt(5+2*sqrt(5)))))^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 height?

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

How to calculate Area of Decagon given height using this online calculator? To use this online calculator for Area of Decagon given height, enter Height (h) and hit the calculate button. Here is how the Area of Decagon given height calculation can be explained with given input values -> 116.9711 = (5/2)*((12/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))).

FAQ

What is Area of Decagon given height?
The Area of decagon given height formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, height=height of decagon and is represented as A = (5/2)*((h/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))) or area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Area of Decagon given height?
The Area of decagon given height formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, height=height of decagon is calculated using area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))). To calculate Area of Decagon given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Height. 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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