Side of Decagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
S = sqrt((2*A)/(5*sqrt(5+(2*sqrt(5)))))
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
Side of Decagon - (Measured in Meter) - Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.
Area of Decagon - (Measured in Square Meter) - Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.
STEP 1: Convert Input(s) to Base Unit
Area of Decagon: 770 Square Meter --> 770 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) --> sqrt((2*770)/(5*sqrt(5+(2*sqrt(5)))))
Evaluating ... ...
S = 10.0037626141235
STEP 3: Convert Result to Output's Unit
10.0037626141235 Meter --> No Conversion Required
FINAL ANSWER
10.0037626141235 10.00376 Meter <-- Side of Decagon
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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Side of Decagon Calculators

Side of Decagon given Diagonal across Three Sides
​ LaTeX ​ Go Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
Side of Decagon given Diagonal across Four Sides
​ LaTeX ​ Go Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
Side of Decagon given Width
​ LaTeX ​ Go Side of Decagon = Width of Decagon*sin(pi/10)
Side of Decagon given Diagonal across Five Sides
​ LaTeX ​ Go Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))

Side of Decagon Calculators

Side of Decagon given Area
​ LaTeX ​ Go Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Side of Decagon given Width
​ LaTeX ​ Go Side of Decagon = Width of Decagon*sin(pi/10)
Side of Decagon given Circumradius
​ LaTeX ​ Go Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5))

Side of Decagon given Area Formula

​LaTeX ​Go
Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
S = sqrt((2*A)/(5*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 Side of Decagon given Area?

Side of Decagon given Area calculator uses Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to calculate the Side of Decagon, The Side of Decagon given Area formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the area. Side of Decagon is denoted by S symbol.

How to calculate Side of Decagon given Area using this online calculator? To use this online calculator for Side of Decagon given Area, enter Area of Decagon (A) and hit the calculate button. Here is how the Side of Decagon given Area calculation can be explained with given input values -> 10.00376 = sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

FAQ

What is Side of Decagon given Area?
The Side of Decagon given Area formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the area and is represented as S = sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) or Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.
How to calculate Side of Decagon given Area?
The Side of Decagon given Area formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the area is calculated using Side of Decagon = sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). To calculate Side of Decagon given Area, you need Area of Decagon (A). With our tool, you need to enter the respective value for Area 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 Side of Decagon?
In this formula, Side of Decagon uses Area of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Side of Decagon = Width of Decagon*sin(pi/10)
  • Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
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