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Diagonal of Decagon across three sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_3_sides = (Side/2)*sqrt(14+6*sqrt(5))
d3 = (S/2)*sqrt(14+6*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
d3 = (S/2)*sqrt(14+6*sqrt(5)) --> (9/2)*sqrt(14+6*sqrt(5))
Evaluating ... ...
d3 = 23.5623058987491
STEP 3: Convert Result to Output's Unit
23.5623058987491 Meter --> No Conversion Required
FINAL ANSWER
23.5623058987491 Meter <-- Diagonal across three sides
(Calculation completed in 00.015 seconds)

9 Diagonal of Decagon across three sides Calculators

Diagonal of Decagon across three sides given area
diagonal_across_3_sides = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given diagonal across two sides
diagonal_across_3_sides = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given diagonal across four sides
diagonal_across_3_sides = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given inradius
diagonal_across_3_sides = (((2*Inradius)/(sqrt(5+2*sqrt(5))))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given height
diagonal_across_3_sides = ((Height/((sqrt(5+2*sqrt(5)))))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given diagonal across five sides
diagonal_across_3_sides = ((Diagonal across five sides/((1+sqrt(5))))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given circumradius
diagonal_across_3_sides = (((2*Radius)/(1+sqrt(5)))/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides given perimeter
diagonal_across_3_sides = ((Perimeter/10)/2)*sqrt(14+6*sqrt(5)) Go
Diagonal of Decagon across three sides
diagonal_across_3_sides = (Side/2)*sqrt(14+6*sqrt(5)) Go

Diagonal of Decagon across three sides Formula

diagonal_across_3_sides = (Side/2)*sqrt(14+6*sqrt(5))
d3 = (S/2)*sqrt(14+6*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 three sides?

Diagonal of Decagon across three sides calculator uses diagonal_across_3_sides = (Side/2)*sqrt(14+6*sqrt(5)) to calculate the Diagonal across three sides, The Diagonal of decagon across three sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 3 sides of decagon , side= side of decagon. Diagonal across three sides and is denoted by d3 symbol.

How to calculate Diagonal of Decagon across three sides using this online calculator? To use this online calculator for Diagonal of Decagon across three sides, enter Side (S) and hit the calculate button. Here is how the Diagonal of Decagon across three sides calculation can be explained with given input values -> 23.56231 = (9/2)*sqrt(14+6*sqrt(5)).

FAQ

What is Diagonal of Decagon across three sides?
The Diagonal of decagon across three sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 3 sides of decagon , side= side of decagon and is represented as d3 = (S/2)*sqrt(14+6*sqrt(5)) or diagonal_across_3_sides = (Side/2)*sqrt(14+6*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 three sides?
The Diagonal of decagon across three sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across 3 sides of decagon , side= side of decagon is calculated using diagonal_across_3_sides = (Side/2)*sqrt(14+6*sqrt(5)). To calculate Diagonal of Decagon across three 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 three sides?
In this formula, Diagonal across three sides uses Side. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_3_sides = (Side/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = ((Diagonal across five sides/((1+sqrt(5))))/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = ((Perimeter/10)/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = ((Height/((sqrt(5+2*sqrt(5)))))/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = (((2*Radius)/(1+sqrt(5)))/2)*sqrt(14+6*sqrt(5))
  • diagonal_across_3_sides = (((2*Inradius)/(sqrt(5+2*sqrt(5))))/2)*sqrt(14+6*sqrt(5))
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