Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Six Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((3*pi)/8)/sin((3*pi)/16)
d6 = d3*sin((3*pi)/8)/sin((3*pi)/16)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Diagonal across Six Sides of Hexadecagon - (Measured in Meter) - Diagonal across Six Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the six sides of the Hexadecagon.
Diagonal across Three Sides of Hexadecagon - (Measured in Meter) - Diagonal across Three Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the three sides of the Hexadecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Three Sides of Hexadecagon: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d6 = d3*sin((3*pi)/8)/sin((3*pi)/16) --> 14*sin((3*pi)/8)/sin((3*pi)/16)
Evaluating ... ...
d6 = 23.2811491444713
STEP 3: Convert Result to Output's Unit
23.2811491444713 Meter --> No Conversion Required
FINAL ANSWER
23.2811491444713 23.28115 Meter <-- Diagonal across Six Sides of Hexadecagon
(Calculation completed in 00.006 seconds)

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Diagonal of Hexadecagon across Six Sides Calculators

Diagonal of Hexadecagon across Six Sides given Area
​ LaTeX ​ Go Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16)
Diagonal of Hexadecagon across Six Sides given Perimeter
​ LaTeX ​ Go Diagonal across Six Sides of Hexadecagon = sin((3*pi)/8)/sin(pi/16)*Perimeter of Hexadecagon/16
Diagonal of Hexadecagon across Six Sides given Height
​ LaTeX ​ Go Diagonal across Six Sides of Hexadecagon = Height of Hexadecagon*sin((3*pi)/8)/sin((7*pi)/16)
Diagonal of Hexadecagon across Six Sides
​ LaTeX ​ Go Diagonal across Six Sides of Hexadecagon = sin((3*pi)/8)/sin(pi/16)*Side of Hexadecagon

Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides Formula

​LaTeX ​Go
Diagonal across Six Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((3*pi)/8)/sin((3*pi)/16)
d6 = d3*sin((3*pi)/8)/sin((3*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 Six Sides given Diagonal across Three Sides?

Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides calculator uses Diagonal across Six Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((3*pi)/8)/sin((3*pi)/16) to calculate the Diagonal across Six Sides of Hexadecagon, The Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Hexadecagon, calculated using diagonal across three sides. Diagonal across Six Sides of Hexadecagon is denoted by d6 symbol.

How to calculate Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides, enter Diagonal across Three Sides of Hexadecagon (d3) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides calculation can be explained with given input values -> 23.28115 = 14*sin((3*pi)/8)/sin((3*pi)/16).

FAQ

What is Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides?
The Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Hexadecagon, calculated using diagonal across three sides and is represented as d6 = d3*sin((3*pi)/8)/sin((3*pi)/16) or Diagonal across Six Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((3*pi)/8)/sin((3*pi)/16). Diagonal across Three Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the three sides of the Hexadecagon.
How to calculate Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides?
The Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Hexadecagon, calculated using diagonal across three sides is calculated using Diagonal across Six Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((3*pi)/8)/sin((3*pi)/16). To calculate Diagonal of Hexadecagon across Six Sides given Diagonal across Three Sides, you need Diagonal across Three Sides of Hexadecagon (d3). With our tool, you need to enter the respective value for Diagonal across Three Sides 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 Six Sides of Hexadecagon?
In this formula, Diagonal across Six Sides of Hexadecagon uses Diagonal across Three Sides of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Six Sides of Hexadecagon = sin((3*pi)/8)/sin(pi/16)*Side of Hexadecagon
  • Diagonal across Six Sides of Hexadecagon = Height of Hexadecagon*sin((3*pi)/8)/sin((7*pi)/16)
  • Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16)
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