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

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Three Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin((3*pi)/16)/sin(pi/8)
d3 = d2*sin((3*pi)/16)/sin(pi/8)
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 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.
Diagonal across Two Sides of Hexadecagon - (Measured in Meter) - Diagonal across Two Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the two sides of the Hexadecagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Two Sides of Hexadecagon: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d3 = d2*sin((3*pi)/16)/sin(pi/8) --> 10*sin((3*pi)/16)/sin(pi/8)
Evaluating ... ...
d3 = 14.517749817023
STEP 3: Convert Result to Output's Unit
14.517749817023 Meter --> No Conversion Required
FINAL ANSWER
14.517749817023 14.51775 Meter <-- Diagonal across Three Sides of Hexadecagon
(Calculation completed in 00.004 seconds)

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12 Diagonal of Hexadecagon across Three Sides Calculators

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

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

Diagonal across Three Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin((3*pi)/16)/sin(pi/8)
d3 = d2*sin((3*pi)/16)/sin(pi/8)

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 Three Sides given Diagonal across Two Sides?

Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides calculator uses Diagonal across Three Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin((3*pi)/16)/sin(pi/8) to calculate the Diagonal across Three Sides of Hexadecagon, The Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Hexadecagon, calculated using diagonal across two sides. Diagonal across Three Sides of Hexadecagon is denoted by d3 symbol.

How to calculate Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides, enter Diagonal across Two Sides of Hexadecagon (d2) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides calculation can be explained with given input values -> 14.51775 = 10*sin((3*pi)/16)/sin(pi/8).

FAQ

What is Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides?
The Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Hexadecagon, calculated using diagonal across two sides and is represented as d3 = d2*sin((3*pi)/16)/sin(pi/8) or Diagonal across Three Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin((3*pi)/16)/sin(pi/8). Diagonal across Two Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the two sides of the Hexadecagon.
How to calculate Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides?
The Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Hexadecagon, calculated using diagonal across two sides is calculated using Diagonal across Three Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin((3*pi)/16)/sin(pi/8). To calculate Diagonal of Hexadecagon across Three Sides given Diagonal across Two Sides, you need Diagonal across Two Sides of Hexadecagon (d2). With our tool, you need to enter the respective value for Diagonal across Two 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 Three Sides of Hexadecagon?
In this formula, Diagonal across Three Sides of Hexadecagon uses Diagonal across Two Sides of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Three Sides of Hexadecagon = sin((3*pi)/16)/sin(pi/16)*Side of Hexadecagon
  • Diagonal across Three Sides of Hexadecagon = Height of Hexadecagon*sin((3*pi)/16)/sin((7*pi)/16)
  • Diagonal across Three Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))* sin((3*pi)/16)/sin(pi/16)
  • Diagonal across Three Sides of Hexadecagon = sin((3*pi)/16)/sin(pi/16)*Perimeter of Hexadecagon/16
  • Diagonal across Three Sides of Hexadecagon = sin((3*pi)/16)/sin(pi/16)*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
  • Diagonal across Three Sides of Hexadecagon = sin((3*pi)/16)/sin(pi/16)*(2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))
  • Diagonal across Three Sides of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin((3*pi)/16)
  • Diagonal across Three Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*sin((3*pi)/16)/sin((5*pi)/16)
  • Diagonal across Three Sides of Hexadecagon = Diagonal across Six Sides of Hexadecagon*sin((3*pi)/16)/sin((3*pi)/8)
  • Diagonal across Three Sides of Hexadecagon = Diagonal across Seven Sides of Hexadecagon*sin((3*pi)/16)/sin((7*pi)/16)
  • Diagonal across Three Sides of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin((3*pi)/16)
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