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## Diagonal of Decagon across four sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = Side*sqrt(5+2*sqrt(5))
d4 = S*sqrt(5+2*sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = S*sqrt(5+2*sqrt(5)) --> 9*sqrt(5+2*sqrt(5))
Evaluating ... ...
d4 = 27.6991518345773
STEP 3: Convert Result to Output's Unit
27.6991518345773 Meter --> No Conversion Required
27.6991518345773 Meter <-- Diagonal across four sides
(Calculation completed in 00.016 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 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 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 Formula

diagonal_across_4_sides = Side*sqrt(5+2*sqrt(5))
d4 = S*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?

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

How to calculate Diagonal of Decagon across four sides using this online calculator? To use this online calculator for Diagonal of Decagon across four sides, enter Side (S) and hit the calculate button. Here is how the Diagonal of Decagon across four sides calculation can be explained with given input values -> 27.69915 = 9*sqrt(5+2*sqrt(5)).

### FAQ

What is Diagonal of Decagon across four sides?
The Diagonal of decagon across four sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , side= side of decagon and is represented as d4 = S*sqrt(5+2*sqrt(5)) or diagonal_across_4_sides = Side*sqrt(5+2*sqrt(5)). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Diagonal of Decagon across four sides?
The Diagonal of decagon across four sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , side= side of decagon is calculated using diagonal_across_4_sides = Side*sqrt(5+2*sqrt(5)). To calculate Diagonal of Decagon across four sides, you need Side (S). With our tool, you need to enter the respective value for Side 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 Side. 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)) 