Diagonal of Decagon across Four Sides given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10
d4 = sqrt(5+(2*sqrt(5)))*P/10
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 Four Sides of Decagon - (Measured in Meter) - Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.
Perimeter of Decagon - (Measured in Meter) - Perimeter of Decagon is the total distance around the edge of the Decagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Decagon: 100 Meter --> 100 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = sqrt(5+(2*sqrt(5)))*P/10 --> sqrt(5+(2*sqrt(5)))*100/10
Evaluating ... ...
d4 = 30.7768353717525
STEP 3: Convert Result to Output's Unit
30.7768353717525 Meter --> No Conversion Required
FINAL ANSWER
30.7768353717525 30.77684 Meter <-- Diagonal across Four 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 Four Sides Calculators

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

Diagonal of Decagon across Four Sides given Perimeter Formula

Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10
d4 = sqrt(5+(2*sqrt(5)))*P/10

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 Perimeter?

Diagonal of Decagon across Four Sides given Perimeter calculator uses Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10 to calculate the Diagonal across Four Sides of Decagon, The Diagonal of Decagon across Four Sides given Perimeter formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the perimeter. Diagonal across Four Sides of Decagon is denoted by d4 symbol.

How to calculate Diagonal of Decagon across Four Sides given Perimeter using this online calculator? To use this online calculator for Diagonal of Decagon across Four Sides given Perimeter, enter Perimeter of Decagon (P) and hit the calculate button. Here is how the Diagonal of Decagon across Four Sides given Perimeter calculation can be explained with given input values -> 30.77684 = sqrt(5+(2*sqrt(5)))*100/10.

FAQ

What is Diagonal of Decagon across Four Sides given Perimeter?
The Diagonal of Decagon across Four Sides given Perimeter formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the perimeter and is represented as d4 = sqrt(5+(2*sqrt(5)))*P/10 or Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10. Perimeter of Decagon is the total distance around the edge of the Decagon.
How to calculate Diagonal of Decagon across Four Sides given Perimeter?
The Diagonal of Decagon across Four Sides given Perimeter formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the perimeter is calculated using Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10. To calculate Diagonal of Decagon across Four Sides given Perimeter, you need Perimeter of Decagon (P). With our tool, you need to enter the respective value for Perimeter 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 Four Sides of Decagon?
In this formula, Diagonal across Four Sides of Decagon uses Perimeter of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Diagonal across Four Sides of Decagon = 1*Height of Decagon
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5))
  • Diagonal across Four Sides of Decagon = (2*Inradius of Decagon)
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!