Perimeter of Decagon given Diagonal across Two Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
P = 10*(2*d2)/sqrt(10+(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
Perimeter of Decagon - (Measured in Meter) - Perimeter of Decagon is the total distance around the edge of the Decagon.
Diagonal across Two Sides of Decagon - (Measured in Meter) - Diagonal across Two Sides of Decagon is a straight line joining two non-adjacent sides which is across two sides of the Decagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Two Sides of Decagon: 19 Meter --> 19 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 10*(2*d2)/sqrt(10+(2*sqrt(5))) --> 10*(2*19)/sqrt(10+(2*sqrt(5)))
Evaluating ... ...
P = 99.8889113026354
STEP 3: Convert Result to Output's Unit
99.8889113026354 Meter --> No Conversion Required
FINAL ANSWER
99.8889113026354 99.88891 Meter <-- Perimeter of Decagon
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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10+ Perimeter of Decagon Calculators

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

Perimeter of Decagon given Diagonal across Two Sides Formula

Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
P = 10*(2*d2)/sqrt(10+(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 Perimeter of Decagon given Diagonal across Two Sides?

Perimeter of Decagon given Diagonal across Two Sides calculator uses Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))) to calculate the Perimeter of Decagon, The Perimeter of Decagon given Diagonal across Two Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across two sides. Perimeter of Decagon is denoted by P symbol.

How to calculate Perimeter of Decagon given Diagonal across Two Sides using this online calculator? To use this online calculator for Perimeter of Decagon given Diagonal across Two Sides, enter Diagonal across Two Sides of Decagon (d2) and hit the calculate button. Here is how the Perimeter of Decagon given Diagonal across Two Sides calculation can be explained with given input values -> 99.88891 = 10*(2*19)/sqrt(10+(2*sqrt(5))).

FAQ

What is Perimeter of Decagon given Diagonal across Two Sides?
The Perimeter of Decagon given Diagonal across Two Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across two sides and is represented as P = 10*(2*d2)/sqrt(10+(2*sqrt(5))) or Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))). Diagonal across Two Sides of Decagon is a straight line joining two non-adjacent sides which is across two sides of the Decagon.
How to calculate Perimeter of Decagon given Diagonal across Two Sides?
The Perimeter of Decagon given Diagonal across Two Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across two sides is calculated using Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))). To calculate Perimeter of Decagon given Diagonal across Two Sides, you need Diagonal across Two Sides of Decagon (d2). With our tool, you need to enter the respective value for Diagonal across Two Sides 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 Perimeter of Decagon?
In this formula, Perimeter of Decagon uses Diagonal across Two Sides of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Decagon = 10*Side of Decagon
  • Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
  • Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
  • Perimeter of Decagon = 10*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
  • Perimeter of Decagon = 10*Height of Decagon/sqrt(5+(2*sqrt(5)))
  • Perimeter of Decagon = 10*(2*Circumradius of Decagon)/(1+sqrt(5))
  • Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
  • Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5))
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