Diagonal of Hexadecagon across Eight Sides given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Eight Sides of Hexadecagon = (Perimeter of Hexadecagon/16)/(sin(pi/16))
d8 = (P/16)/(sin(pi/16))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Diagonal across Eight Sides of Hexadecagon - (Measured in Meter) - Diagonal across eight sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.
Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the figure.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Hexadecagon: 80 Meter --> 80 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d8 = (P/16)/(sin(pi/16)) --> (80/16)/(sin(pi/16))
Evaluating ... ...
d8 = 25.6291544774151
STEP 3: Convert Result to Output's Unit
25.6291544774151 Meter --> No Conversion Required
FINAL ANSWER
25.6291544774151 Meter <-- Diagonal across Eight Sides of Hexadecagon
(Calculation completed in 00.032 seconds)

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10+ Diagonal of Hexadecagon across Eight Sides Calculators

Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides
Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/16)))/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Diagonal across Five Sides
Diagonal across Eight Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*((sin(pi/16))/(sin(5*pi/16)))/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Diagonal across Two Sides
Diagonal across Eight Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*((sin(pi/16))/(sin(pi/8)))/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Diagonal across Four Sides
Diagonal across Eight Sides of Hexadecagon = (Diagonal across Four Sides of Hexadecagon)/((sqrt(2))/2/(sin(pi/16)))/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Inradius
Diagonal across Eight Sides of Hexadecagon = Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Area
Diagonal across Eight Sides of Hexadecagon = (sqrt(Area of Hexadecagon/(4*cot(pi/16))))*(1/sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Perimeter
Diagonal across Eight Sides of Hexadecagon = (Perimeter of Hexadecagon/16)/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Height
Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin(7*pi/16) Go
Diagonal of Hexadecagon across Eight Sides
Diagonal across Eight Sides of Hexadecagon = (Side of Hexadecagon)/(sin(pi/16)) Go
Diagonal of Hexadecagon across Eight Sides given Circumradius
Diagonal across Eight Sides of Hexadecagon = 2*Circumradius of Hexadecagon Go

Diagonal of Hexadecagon across Eight Sides given Perimeter Formula

Diagonal across Eight Sides of Hexadecagon = (Perimeter of Hexadecagon/16)/(sin(pi/16))
d8 = (P/16)/(sin(pi/16))

What is Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Diagonal of Hexadecagon across Eight Sides given Perimeter?

Diagonal of Hexadecagon across Eight Sides given Perimeter calculator uses Diagonal across Eight Sides of Hexadecagon = (Perimeter of Hexadecagon/16)/(sin(pi/16)) to calculate the Diagonal across Eight Sides of Hexadecagon, The Diagonal of Hexadecagon across Eight Sides given Perimeter formula is defined as as the straight line connecting two non-adjacent vertices across eight sides of Hexadecagon, calculated using perimeter. Diagonal across Eight Sides of Hexadecagon is denoted by d8 symbol.

How to calculate Diagonal of Hexadecagon across Eight Sides given Perimeter using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Eight Sides given Perimeter, enter Perimeter of Hexadecagon (P) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Eight Sides given Perimeter calculation can be explained with given input values -> 25.62915 = (80/16)/(sin(pi/16)).

FAQ

What is Diagonal of Hexadecagon across Eight Sides given Perimeter?
The Diagonal of Hexadecagon across Eight Sides given Perimeter formula is defined as as the straight line connecting two non-adjacent vertices across eight sides of Hexadecagon, calculated using perimeter and is represented as d8 = (P/16)/(sin(pi/16)) or Diagonal across Eight Sides of Hexadecagon = (Perimeter of Hexadecagon/16)/(sin(pi/16)). Perimeter of Hexadecagon is the total distance around the edge of the figure.
How to calculate Diagonal of Hexadecagon across Eight Sides given Perimeter?
The Diagonal of Hexadecagon across Eight Sides given Perimeter formula is defined as as the straight line connecting two non-adjacent vertices across eight sides of Hexadecagon, calculated using perimeter is calculated using Diagonal across Eight Sides of Hexadecagon = (Perimeter of Hexadecagon/16)/(sin(pi/16)). To calculate Diagonal of Hexadecagon across Eight Sides given Perimeter, you need Perimeter of Hexadecagon (P). With our tool, you need to enter the respective value for Perimeter of Hexadecagon 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 Eight Sides of Hexadecagon?
In this formula, Diagonal across Eight Sides of Hexadecagon uses Perimeter of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Eight Sides of Hexadecagon = (Side of Hexadecagon)/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = 2*Circumradius of Hexadecagon
  • Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin(7*pi/16)
  • Diagonal across Eight Sides of Hexadecagon = (sqrt(Area of Hexadecagon/(4*cot(pi/16))))*(1/sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*((sin(pi/16))/(sin(pi/8)))/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/16)))/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = (Diagonal across Four Sides of Hexadecagon)/((sqrt(2))/2/(sin(pi/16)))/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*((sin(pi/16))/(sin(5*pi/16)))/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = Diagonal across Six Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/8)))/(sin(pi/16))
  • Diagonal across Eight Sides of Hexadecagon = Diagonal across Seven Sides of Hexadecagon*((sin(pi/16))/(sin(7*pi/16)))/(sin(pi/16))
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