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Diagonal of Decagon across four sides given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5))
d4 = (P/10)*sqrt(5+2*sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = (P/10)*sqrt(5+2*sqrt(5)) --> (20/10)*sqrt(5+2*sqrt(5))
Evaluating ... ...
d4 = 6.15536707435051
STEP 3: Convert Result to Output's Unit
6.15536707435051 Meter --> No Conversion Required
FINAL ANSWER
6.15536707435051 Meter <-- Diagonal across four sides
(Calculation completed in 00.015 seconds)

9 Diagonal of Decagon across four sides Calculators

Diagonal of Decagon across four sides given area
diagonal_across_4_sides = (sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given diagonal across three sides
diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given diagonal across two sides
diagonal_across_4_sides = ((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given inradius
diagonal_across_4_sides = ((2*Inradius)/(sqrt(5+2*sqrt(5))))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given height
diagonal_across_4_sides = (Height/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given diagonal across five sides
diagonal_across_4_sides = (Diagonal across five sides/((1+sqrt(5))))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given circumradius
diagonal_across_4_sides = ((2*Radius)/(1+sqrt(5)))*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides given perimeter
diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5)) Go
Diagonal of Decagon across four sides
diagonal_across_4_sides = Side*sqrt(5+2*sqrt(5)) Go

Diagonal of Decagon across four sides given perimeter Formula

diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5))
d4 = (P/10)*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 Diagonal of Decagon across four sides given perimeter?

Diagonal of Decagon across four sides given perimeter calculator uses diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5)) to calculate the Diagonal across four sides, The Diagonal of decagon across four sides given perimeter formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , perimeter= perimeter of decagon. Diagonal across four sides and is denoted by d4 symbol.

How to calculate Diagonal of Decagon across four sides given perimeter using this online calculator? To use this online calculator for Diagonal of Decagon across four sides given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Diagonal of Decagon across four sides given perimeter calculation can be explained with given input values -> 6.155367 = (20/10)*sqrt(5+2*sqrt(5)).

FAQ

What is Diagonal of Decagon across four sides given perimeter?
The Diagonal of decagon across four sides given perimeter formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , perimeter= perimeter of decagon and is represented as d4 = (P/10)*sqrt(5+2*sqrt(5)) or diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5)). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Diagonal of Decagon across four sides given perimeter?
The Diagonal of decagon across four sides given perimeter formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , perimeter= perimeter of decagon is calculated using diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5)). To calculate Diagonal of Decagon across four sides given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Diagonal across four sides?
In this formula, Diagonal across four sides uses Perimeter. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_4_sides = Side*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = (Diagonal across five sides/((1+sqrt(5))))*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = ((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = (Perimeter/10)*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = (sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = (Height/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = ((2*Radius)/(1+sqrt(5)))*sqrt(5+2*sqrt(5))
  • diagonal_across_4_sides = ((2*Inradius)/(sqrt(5+2*sqrt(5))))*sqrt(5+2*sqrt(5))
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