Width of Decagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
w = (1+sqrt(5))*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
Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.
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
w = (1+sqrt(5))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) --> (1+sqrt(5))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5)))))
Evaluating ... ...
w = 32.3728558500747
STEP 3: Convert Result to Output's Unit
32.3728558500747 Meter --> No Conversion Required
FINAL ANSWER
32.3728558500747 32.37286 Meter <-- Width of Decagon
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Width of Decagon Calculators

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

Width of Decagon Calculators

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

Width of Decagon given Area Formula

​LaTeX ​Go
Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
w = (1+sqrt(5))*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 Width of Decagon given Area?

Width of Decagon given Area calculator uses Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to calculate the Width of Decagon, Width of Decagon given Area formula is defined as the measurement or extent of Decagon from side to side, calculated using area. Width of Decagon is denoted by w symbol.

How to calculate Width of Decagon given Area using this online calculator? To use this online calculator for Width of Decagon given Area, enter Area of Decagon (A) and hit the calculate button. Here is how the Width of Decagon given Area calculation can be explained with given input values -> 32.37286 = (1+sqrt(5))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

FAQ

What is Width of Decagon given Area?
Width of Decagon given Area formula is defined as the measurement or extent of Decagon from side to side, calculated using area and is represented as w = (1+sqrt(5))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) or Width of Decagon = (1+sqrt(5))*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 Width of Decagon given Area?
Width of Decagon given Area formula is defined as the measurement or extent of Decagon from side to side, calculated using area is calculated using Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). To calculate Width 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 Width of Decagon?
In this formula, Width of Decagon uses Area of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width of Decagon = 2*Circumradius of Decagon
  • Width of Decagon = Side of Decagon/sin(pi/10)
  • Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
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