Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides Calculator

✖Diagonal across Three Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the three sides of the Hexadecagon.ⓘ Diagonal across Three Sides of Hexadecagon [d₃]

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✖Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.ⓘ Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides [d₈]

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Formula

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Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides

Formula

`"d"_{"8"} = "d"_{"3"}/sin((3*pi)/16)`

Example

`"25.19933m"="14m"/sin((3*pi)/16)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon/sin((3*pi)/16)
d₈ = d₃/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 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.
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

d₈ = d₃/sin((3*pi)/16) --> 14/sin((3*pi)/16)

Evaluating ... ...

d₈ = 25.1993342478196

STEP 3: Convert Result to Output's Unit

25.1993342478196 Meter --> No Conversion Required

FINAL ANSWER

25.1993342478196 ≈ 25.19933 Meter <-- Diagonal across Eight Sides of Hexadecagon

(Calculation completed in 00.020 seconds)

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< 12 Diagonal of Hexadecagon across Eight Sides Calculators

Diagonal of Hexadecagon across Eight Sides given Inradius

Go Diagonal across Eight Sides of Hexadecagon = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))*1/sin(pi/16)

Diagonal of Hexadecagon across Eight Sides given Area

Go Diagonal across Eight Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*1/sin(pi/16)

Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides

Go Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon/sin((3*pi)/16)

Diagonal of Hexadecagon across Eight Sides given Diagonal across Seven Sides

Go Diagonal across Eight Sides of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/sin((7*pi)/16)

Diagonal of Hexadecagon across Eight Sides given Diagonal across Five Sides

Go Diagonal across Eight Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon/sin((5*pi)/16)

Diagonal of Hexadecagon across Eight Sides given Diagonal across Six Sides

Go Diagonal across Eight Sides of Hexadecagon = Diagonal across Six Sides of Hexadecagon/sin((3*pi)/8)

Diagonal of Hexadecagon across Eight Sides given Diagonal across Two Sides

Go Diagonal across Eight Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon/sin(pi/8)

Diagonal of Hexadecagon across Eight Sides given Perimeter

Go Diagonal across Eight Sides of Hexadecagon = Perimeter of Hexadecagon/16*1/sin(pi/16)

Diagonal of Hexadecagon across Eight Sides given Height

Go Diagonal across Eight Sides of Hexadecagon = Height of Hexadecagon/sin((7*pi)/16)

Diagonal of Hexadecagon across Eight Sides

Go Diagonal across Eight Sides of Hexadecagon = (Side of Hexadecagon)/(sin(pi/16))

Diagonal of Hexadecagon across Eight Sides given Diagonal across Four Sides

Go Diagonal across Eight Sides of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon

Diagonal of Hexadecagon across Eight Sides given Circumradius

Go Diagonal across Eight Sides of Hexadecagon = 2*Circumradius of Hexadecagon

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

Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon/sin((3*pi)/16)
d₈ = d₃/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 Eight Sides given Diagonal across Three Sides?

Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides calculator uses Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon/sin((3*pi)/16) to calculate the Diagonal across Eight Sides of Hexadecagon, The Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across the eight sides of the Hexadecagon, calculated using diagonal across three sides. Diagonal across Eight Sides of Hexadecagon is denoted by d₈ symbol.

How to calculate Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Eight 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 Eight Sides given Diagonal across Three Sides calculation can be explained with given input values -> 25.19933 = 14/sin((3*pi)/16).

FAQ

What is Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides?

The Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across the eight sides of the Hexadecagon, calculated using diagonal across three sides and is represented as d₈ = d₃/sin((3*pi)/16) or Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon/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 Eight Sides given Diagonal across Three Sides?

The Diagonal of Hexadecagon across Eight Sides given Diagonal across Three Sides formula is defined as the straight line connecting two non-adjacent vertices across the eight sides of the Hexadecagon, calculated using diagonal across three sides is calculated using Diagonal across Eight Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon/sin((3*pi)/16). To calculate Diagonal of Hexadecagon across Eight 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 Eight Sides of Hexadecagon?

In this formula, Diagonal across Eight Sides of Hexadecagon uses Diagonal across Three Sides 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 = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))*1/sin(pi/16)
Diagonal across Eight Sides of Hexadecagon = Perimeter of Hexadecagon/16*1/sin(pi/16)
Diagonal across Eight Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon/sin(pi/8)
Diagonal across Eight Sides of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon
Diagonal across Eight Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon/sin((5*pi)/16)
Diagonal across Eight Sides of Hexadecagon = Diagonal across Six Sides of Hexadecagon/sin((3*pi)/8)
Diagonal across Eight Sides of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/sin((7*pi)/16)

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