Area of Decagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Width of Decagon/(1+sqrt(5)))^2
A = 5/2*sqrt(5+(2*sqrt(5)))*(w/(1+sqrt(5)))^2
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Area of Decagon - (Measured in Square Meter) - Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.
Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.
STEP 1: Convert Input(s) to Base Unit
Width of Decagon: 32 Meter --> 32 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 5/2*sqrt(5+(2*sqrt(5)))*(w/(1+sqrt(5)))^2 --> 5/2*sqrt(5+(2*sqrt(5)))*(32/(1+sqrt(5)))^2
Evaluating ... ...
A = 752.365122934366
STEP 3: Convert Result to Output's Unit
752.365122934366 Square Meter --> No Conversion Required
FINAL ANSWER
752.365122934366 752.3651 Square Meter <-- Area of Decagon
(Calculation completed in 00.020 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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10+ Area of Decagon Calculators

Area of Decagon given Diagonal across Three Sides
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))))^2
Area of Decagon given Diagonal across Two Sides
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))))^2
Area of Decagon given Diagonal across Five Sides
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2
Area of Decagon given Circumradius
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2
Area of Decagon given Width
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Width of Decagon/(1+sqrt(5)))^2
Area of Decagon given Diagonal across Four Sides
Go Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5)))
Area of Decagon given Perimeter
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^2
Area of Decagon given Inradius
Go Area of Decagon = 5/2*(2*Inradius of Decagon)^2/sqrt(5+(2*sqrt(5)))
Area of Decagon given Height
Go Area of Decagon = 5/2*Height of Decagon^2/sqrt(5+(2*sqrt(5)))
Area of Decagon
Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2

Area of Decagon given Width Formula

Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Width of Decagon/(1+sqrt(5)))^2
A = 5/2*sqrt(5+(2*sqrt(5)))*(w/(1+sqrt(5)))^2

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 Width?

Area of Decagon given Width calculator uses Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Width of Decagon/(1+sqrt(5)))^2 to calculate the Area of Decagon, The Area of Decagon given Width formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its width. Area of Decagon is denoted by A symbol.

How to calculate Area of Decagon given Width using this online calculator? To use this online calculator for Area of Decagon given Width, enter Width of Decagon (w) and hit the calculate button. Here is how the Area of Decagon given Width calculation can be explained with given input values -> 752.3651 = 5/2*sqrt(5+(2*sqrt(5)))*(32/(1+sqrt(5)))^2.

FAQ

What is Area of Decagon given Width?
The Area of Decagon given Width formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its width and is represented as A = 5/2*sqrt(5+(2*sqrt(5)))*(w/(1+sqrt(5)))^2 or Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Width of Decagon/(1+sqrt(5)))^2. Width of Decagon is the measurement or extent of Decagon from side to side.
How to calculate Area of Decagon given Width?
The Area of Decagon given Width formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its width is calculated using Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Width of Decagon/(1+sqrt(5)))^2. To calculate Area of Decagon given Width, you need Width of Decagon (w). With our tool, you need to enter the respective value for Width of Decagon 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 of Decagon?
In this formula, Area of Decagon uses Width of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2
  • Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2
  • Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5)))
  • Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))))^2
  • Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))))^2
  • Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^2
  • Area of Decagon = 5/2*Height of Decagon^2/sqrt(5+(2*sqrt(5)))
  • Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2
  • Area of Decagon = 5/2*(2*Inradius of Decagon)^2/sqrt(5+(2*sqrt(5)))
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