Diagonal of Hexadecagon across Six Sides given Area Calculator

✖Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.ⓘ Area of Hexadecagon [A]

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✖Diagonal across Six Sides of Hexadecagon is the straight line joining two non-adjacent vertices across the six sides of the Hexadecagon.ⓘ Diagonal of Hexadecagon across Six Sides given Area [d₆]

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Diagonal of Hexadecagon across Six Sides given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16)
d₆ = sqrt(A/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16)
This formula uses 1 Constants, 3 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)
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hexadecagon: 500 Square Meter --> 500 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₆ = sqrt(A/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16) --> sqrt(500/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16)

Evaluating ... ...

d₆ = 23.613780390842

STEP 3: Convert Result to Output's Unit

23.613780390842 Meter --> No Conversion Required

FINAL ANSWER

23.613780390842 ≈ 23.61378 Meter <-- Diagonal across Six Sides of Hexadecagon

(Calculation completed in 00.004 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 Area Formula

LaTeX Go

Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16)
d₆ = sqrt(A/(4*cot(pi/16)))*sin((3*pi)/8)/sin(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 Area?

Diagonal of Hexadecagon across Six Sides given Area calculator uses Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16) to calculate the Diagonal across Six Sides of Hexadecagon, Diagonal of Hexadecagon across Six Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Hexadecagon, calculated using the area. Diagonal across Six Sides of Hexadecagon is denoted by d₆ symbol.

How to calculate Diagonal of Hexadecagon across Six Sides given Area using this online calculator? To use this online calculator for Diagonal of Hexadecagon across Six Sides given Area, enter Area of Hexadecagon (A) and hit the calculate button. Here is how the Diagonal of Hexadecagon across Six Sides given Area calculation can be explained with given input values -> 23.61378 = sqrt(500/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16).

FAQ

What is Diagonal of Hexadecagon across Six Sides given Area?

Diagonal of Hexadecagon across Six Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Hexadecagon, calculated using the area and is represented as d₆ = sqrt(A/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16) or Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16). Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

How to calculate Diagonal of Hexadecagon across Six Sides given Area?

Diagonal of Hexadecagon across Six Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Hexadecagon, calculated using the area is calculated using Diagonal across Six Sides of Hexadecagon = sqrt(Area of Hexadecagon/(4*cot(pi/16)))*sin((3*pi)/8)/sin(pi/16). To calculate Diagonal of Hexadecagon across Six Sides given Area, you need Area of Hexadecagon (A). With our tool, you need to enter the respective value for Area 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 Area 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 = sin((3*pi)/8)/sin(pi/16)*Perimeter of Hexadecagon/16

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