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Diagonal of Decagon across four sides given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = (Height/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5))
d4 = (h/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = (h/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)) --> (12/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5))
Evaluating ... ...
d4 = 12
STEP 3: Convert Result to Output's Unit
12 Meter --> No Conversion Required
FINAL ANSWER
12 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 height Formula

diagonal_across_4_sides = (Height/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5))
d4 = (h/((sqrt(5+2*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 height?

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

How to calculate Diagonal of Decagon across four sides given height using this online calculator? To use this online calculator for Diagonal of Decagon across four sides given height, enter Height (h) and hit the calculate button. Here is how the Diagonal of Decagon across four sides given height calculation can be explained with given input values -> 12 = (12/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)).

FAQ

What is Diagonal of Decagon across four sides given height?
The Diagonal of decagon across four sides given height formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , height = height of decagon and is represented as d4 = (h/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)) or diagonal_across_4_sides = (Height/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Diagonal of Decagon across four sides given height?
The Diagonal of decagon across four sides given height formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 4 sides of decagon , height = height of decagon is calculated using diagonal_across_4_sides = (Height/((sqrt(5+2*sqrt(5)))))*sqrt(5+2*sqrt(5)). To calculate Diagonal of Decagon across four sides given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Height. 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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