Diagonal of Decagon across Three Sides given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
d3 = sqrt(14+(6*sqrt(5)))/2*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5)))))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diagonal across Three Sides of Decagon - (Measured in Meter) - Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon.
Area of Decagon - (Measured in Square Meter) - Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.
STEP 1: Convert Input(s) to Base Unit
Area of Decagon: 770 Square Meter --> 770 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d3 = sqrt(14+(6*sqrt(5)))/2*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) --> sqrt(14+(6*sqrt(5)))/2*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5)))))
Evaluating ... ...
d3 = 26.1901905391608
STEP 3: Convert Result to Output's Unit
26.1901905391608 Meter --> No Conversion Required
FINAL ANSWER
26.1901905391608 26.19019 Meter <-- Diagonal across Three Sides of Decagon
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

10+ Diagonal of Decagon across Three Sides Calculators

Diagonal of Decagon across Three Sides given Area
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Diagonal of Decagon across Three Sides given Diagonal across Two Sides
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Diagonal of Decagon across Three Sides given Diagonal across Four Sides
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
Diagonal of Decagon across Three Sides given Inradius
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
Diagonal of Decagon across Three Sides given Height
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5)))
Diagonal of Decagon across Three Sides given Diagonal across Five Sides
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal of Decagon across Three Sides given Circumradius
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))
Diagonal of Decagon across Three Sides given Width
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))*Width of Decagon/(2*(1+sqrt(5)))
Diagonal of Decagon across Three Sides given Perimeter
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Perimeter of Decagon/10
Diagonal of Decagon across Three Sides
Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon

Diagonal of Decagon across Three Sides given Area Formula

Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
d3 = sqrt(14+(6*sqrt(5)))/2*sqrt((2*A)/(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 Three Sides given Area?

Diagonal of Decagon across Three Sides given Area calculator uses Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to calculate the Diagonal across Three Sides of Decagon, The Diagonal of Decagon across Three Sides given Area formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using the area. Diagonal across Three Sides of Decagon is denoted by d3 symbol.

How to calculate Diagonal of Decagon across Three Sides given Area using this online calculator? To use this online calculator for Diagonal of Decagon across Three Sides given Area, enter Area of Decagon (A) and hit the calculate button. Here is how the Diagonal of Decagon across Three Sides given Area calculation can be explained with given input values -> 26.19019 = sqrt(14+(6*sqrt(5)))/2*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

FAQ

What is Diagonal of Decagon across Three Sides given Area?
The Diagonal of Decagon across Three Sides given Area formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using the area and is represented as d3 = sqrt(14+(6*sqrt(5)))/2*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) or Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.
How to calculate Diagonal of Decagon across Three Sides given Area?
The Diagonal of Decagon across Three Sides given Area formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using the area is calculated using Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). To calculate Diagonal of Decagon across Three Sides given Area, you need Area of Decagon (A). With our tool, you need to enter the respective value for Area of Decagon 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 of Decagon?
In this formula, Diagonal across Three Sides of Decagon uses Area of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Perimeter of Decagon/10
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Height of Decagon/sqrt(5+(2*sqrt(5)))
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
  • Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))*Width of Decagon/(2*(1+sqrt(5)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!