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Diagonal of Decagon across four sides given diagonal across three sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5))
d4 = ((2*d3)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across three sides - Diagonal across three sides is a straight line joining two opposite sides which is across three sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across three sides: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = ((2*d3)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)) --> ((2*7)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5))
Evaluating ... ...
d4 = 8.22899353209463
STEP 3: Convert Result to Output's Unit
8.22899353209463 Meter --> No Conversion Required
FINAL ANSWER
8.22899353209463 Meter <-- Diagonal across four sides
(Calculation completed in 00.000 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 diagonal across three sides Formula

diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5))
d4 = ((2*d3)/(sqrt(14+6*sqrt(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 Diagonal of Decagon across four sides given diagonal across three sides?

Diagonal of Decagon across four sides given diagonal across three sides calculator uses diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)) to calculate the Diagonal across four sides, The Diagonal of decagon across four sides given diagonal across three sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across three sides of decagon and diagonal across four sides of decagon. Diagonal across four sides and is denoted by d4 symbol.

How to calculate Diagonal of Decagon across four sides given diagonal across three sides using this online calculator? To use this online calculator for Diagonal of Decagon across four sides given diagonal across three sides, enter Diagonal across three sides (d3) and hit the calculate button. Here is how the Diagonal of Decagon across four sides given diagonal across three sides calculation can be explained with given input values -> 8.228994 = ((2*7)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)).

FAQ

What is Diagonal of Decagon across four sides given diagonal across three sides?
The Diagonal of decagon across four sides given diagonal across three sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across three sides of decagon and diagonal across four sides of decagon and is represented as d4 = ((2*d3)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)) or diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)). Diagonal across three sides is a straight line joining two opposite sides which is across three sides of the given polygon.
How to calculate Diagonal of Decagon across four sides given diagonal across three sides?
The Diagonal of decagon across four sides given diagonal across three sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across three sides of decagon and diagonal across four sides of decagon is calculated using diagonal_across_4_sides = ((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))*sqrt(5+2*sqrt(5)). To calculate Diagonal of Decagon across four sides given diagonal across three sides, you need Diagonal across three sides (d3). With our tool, you need to enter the respective value for Diagonal across three sides 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 Diagonal across three sides. 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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