Diagonal of Hexadecagon across Four Sides given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Height of Hexadecagon*(sin(pi/16)/sin(7*pi/16))
d4 = sqrt(2)/2/(sin(pi/16))*h*(sin(pi/16)/sin(7*pi/16))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across Four Sides of Hexadecagon - (Measured in Meter) - Diagonal across four sides of Hexadecagon is the straight line joining two non-adjacent vertices across four sides of Hexadecagon.
Height of Hexadecagon - (Measured in Meter) - Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.
STEP 1: Convert Input(s) to Base Unit
Height of Hexadecagon: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = sqrt(2)/2/(sin(pi/16))*h*(sin(pi/16)/sin(7*pi/16)) --> sqrt(2)/2/(sin(pi/16))*25*(sin(pi/16)/sin(7*pi/16))
Evaluating ... ...
d4 = 18.0239955501737
STEP 3: Convert Result to Output's Unit
18.0239955501737 Meter --> No Conversion Required
FINAL ANSWER
18.0239955501737 Meter <-- Diagonal across Four Sides of Hexadecagon
(Calculation completed in 00.010 seconds)

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10+ Diagonal of Hexadecagon across Four Sides Calculators

Diagonal of Hexadecagon across Four Sides given Diagonal across Three Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Three Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/16))) Go
Diagonal of Hexadecagon across Four Sides given Diagonal across Five Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Five Sides of Hexadecagon*((sin(pi/16))/(sin(5*pi/16))) Go
Diagonal of Hexadecagon across Four Sides given Diagonal across Six Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Six Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/8))) Go
Diagonal of Hexadecagon across Four Sides given Diagonal across Two Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Two Sides of Hexadecagon*((sin(pi/16))/(sin(pi/8))) Go
Diagonal of Hexadecagon across Four Sides given Circumradius
Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) Go
Diagonal of Hexadecagon across Four Sides given Height
Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Height of Hexadecagon*(sin(pi/16)/sin(7*pi/16)) Go
Diagonal of Hexadecagon across Four Sides given Inradius
Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2) Go
Diagonal of Hexadecagon across Four Sides given Area
Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*sqrt((Area of Hexadecagon)/(4*cot(pi/16))) Go
Diagonal of Hexadecagon across Four Sides given Perimeter
Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Perimeter of Hexadecagon/16 Go
Diagonal of Hexadecagon across Four Sides
Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*(Side of Hexadecagon) Go

Diagonal of Hexadecagon across Four Sides given Height Formula

Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Height of Hexadecagon*(sin(pi/16)/sin(7*pi/16))
d4 = sqrt(2)/2/(sin(pi/16))*h*(sin(pi/16)/sin(7*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 Four Sides given Height?

Diagonal of Hexadecagon across Four Sides given Height calculator uses Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Height of Hexadecagon*(sin(pi/16)/sin(7*pi/16)) to calculate the Diagonal across Four Sides of Hexadecagon, The Diagonal of Hexadecagon across Four Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Hexadecagon, calculated using height. Diagonal across Four Sides of Hexadecagon is denoted by d4 symbol.

How to calculate Diagonal of Hexadecagon across Four Sides given Height using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Four Sides given Height, enter Height of Hexadecagon (h) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Four Sides given Height calculation can be explained with given input values -> 18.024 = sqrt(2)/2/(sin(pi/16))*25*(sin(pi/16)/sin(7*pi/16)).

FAQ

What is Diagonal of Hexadecagon across Four Sides given Height?
The Diagonal of Hexadecagon across Four Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Hexadecagon, calculated using height and is represented as d4 = sqrt(2)/2/(sin(pi/16))*h*(sin(pi/16)/sin(7*pi/16)) or Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Height of Hexadecagon*(sin(pi/16)/sin(7*pi/16)). Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.
How to calculate Diagonal of Hexadecagon across Four Sides given Height?
The Diagonal of Hexadecagon across Four Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Hexadecagon, calculated using height is calculated using Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Height of Hexadecagon*(sin(pi/16)/sin(7*pi/16)). To calculate Diagonal of Hexadecagon across Four Sides given Height, you need Height of Hexadecagon (h). With our tool, you need to enter the respective value for Height 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 Four Sides of Hexadecagon?
In this formula, Diagonal across Four Sides of Hexadecagon uses Height of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*(Side of Hexadecagon)
  • Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
  • Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Perimeter of Hexadecagon/16
  • Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
  • Diagonal across Four Sides of Hexadecagon = sqrt(2)/2/(sin(pi/16))*Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Two Sides of Hexadecagon*((sin(pi/16))/(sin(pi/8)))
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Three Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/16)))
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Five Sides of Hexadecagon*((sin(pi/16))/(sin(5*pi/16)))
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Six Sides of Hexadecagon*((sin(pi/16))/(sin(3*pi/8)))
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Seven Sides of Hexadecagon*((sin(pi/16))/(sin(7*pi/16)))
  • Diagonal across Four Sides of Hexadecagon = ((sqrt(2)/2)/(sin(pi/16)))*Diagonal across Eight Sides of Hexadecagon*sin(pi/16)
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