Side of Hexadecagon 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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✖Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.ⓘ Side of Hexadecagon given Diagonal across Three Sides [S]

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Formula

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Side of Hexadecagon given Diagonal across Three Sides

Formula

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

Example

`"4.916146m"="14m"*sin(pi/16)/sin((3*pi)/16)`

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Side of Hexadecagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)
S = d₃*sin(pi/16)/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

Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a 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

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

Evaluating ... ...

S = 4.91614623299918

STEP 3: Convert Result to Output's Unit

4.91614623299918 Meter --> No Conversion Required

FINAL ANSWER

4.91614623299918 ≈ 4.916146 Meter <-- Side of Hexadecagon

(Calculation completed in 00.004 seconds)

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< 12 Side of Hexadecagon Calculators

Side of Hexadecagon given Circumradius

Go Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

Side of Hexadecagon given Diagonal across Three Sides

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

Side of Hexadecagon given Diagonal across Seven Sides

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

Side of Hexadecagon given Diagonal across Five Sides

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

Side of Hexadecagon given Diagonal across Six Sides

Go Side of Hexadecagon = Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8)

Side of Hexadecagon given Diagonal across Two Sides

Go Side of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)

Side of Hexadecagon given Height

Go Side of Hexadecagon = Height of Hexadecagon*sin(pi/16)/sin((7*pi)/16)

Side of Hexadecagon given Diagonal across Four Sides

Go Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)

Side of Hexadecagon given Inradius

Go Side of Hexadecagon = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))

Side of Hexadecagon given Area

Go Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

Side of Hexadecagon given Diagonal across Eight Sides

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

Side of Hexadecagon given Perimeter

Go Side of Hexadecagon = Perimeter of Hexadecagon/16

Side of Hexadecagon given Diagonal across Three Sides Formula

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

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

How to calculate Side of Hexadecagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Side of Hexadecagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Hexadecagon (d₃) and hit the calculate button. Here is how the Side of Hexadecagon given Diagonal across Three Sides calculation can be explained with given input values -> 4.916146 = 14*sin(pi/16)/sin((3*pi)/16).

FAQ

What is Side of Hexadecagon given Diagonal across Three Sides?

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

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

In this formula, Side 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 -

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

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