Perimeter of Decagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5))
P = (10*w)/(1+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
Perimeter of Decagon - (Measured in Meter) - Perimeter of Decagon is the total distance around the edge of 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
P = (10*w)/(1+sqrt(5)) --> (10*32)/(1+sqrt(5))
Evaluating ... ...
P = 98.8854381999832
STEP 3: Convert Result to Output's Unit
98.8854381999832 Meter --> No Conversion Required
FINAL ANSWER
98.8854381999832 98.88544 Meter <-- Perimeter of Decagon
(Calculation completed in 00.020 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Walchand College of Engineering (WCE), Sangli
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10+ Perimeter of Decagon Calculators

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

Perimeter of Decagon given Width Formula

Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5))
P = (10*w)/(1+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 Perimeter of Decagon given Width?

Perimeter of Decagon given Width calculator uses Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5)) to calculate the Perimeter of Decagon, The Perimeter of Decagon given Width formula is defined as the distance of a boundary around the Decagon, calculated using width. Perimeter of Decagon is denoted by P symbol.

How to calculate Perimeter of Decagon given Width using this online calculator? To use this online calculator for Perimeter of Decagon given Width, enter Width of Decagon (w) and hit the calculate button. Here is how the Perimeter of Decagon given Width calculation can be explained with given input values -> 98.88544 = (10*32)/(1+sqrt(5)).

FAQ

What is Perimeter of Decagon given Width?
The Perimeter of Decagon given Width formula is defined as the distance of a boundary around the Decagon, calculated using width and is represented as P = (10*w)/(1+sqrt(5)) or Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5)). Width of Decagon is the measurement or extent of Decagon from side to side.
How to calculate Perimeter of Decagon given Width?
The Perimeter of Decagon given Width formula is defined as the distance of a boundary around the Decagon, calculated using width is calculated using Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5)). To calculate Perimeter 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 Perimeter of Decagon?
In this formula, Perimeter of Decagon uses Width of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Decagon = 10*Side of Decagon
  • Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
  • Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Perimeter of Decagon = 10*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Perimeter of Decagon = 10*Height of Decagon/sqrt(5+(2*sqrt(5)))
  • Perimeter of Decagon = 10*(2*Circumradius of Decagon)/(1+sqrt(5))
  • Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
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