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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12 Diagonal of Hexadecagon across Six Sides Calculators

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

Diagonal of Hexadecagon across Six Sides given Area Formula

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 11 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
  • Diagonal across Six Sides of Hexadecagon = sin((3*pi)/8)/sin(pi/16)*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
  • Diagonal across Six Sides of Hexadecagon = sin((3*pi)/8)/sin(pi/16)*(2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))
  • Diagonal across Six Sides of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin((3*pi)/8)/sin(pi/8)
  • Diagonal across Six Sides of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin((3*pi)/8)/sin((3*pi)/16)
  • Diagonal across Six Sides of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin((3*pi)/8)
  • Diagonal across Six Sides of Hexadecagon = Diagonal across Five Sides of Hexadecagon*sin((3*pi)/8)/sin((5*pi)/16)
  • Diagonal across Six Sides of Hexadecagon = Diagonal across Seven Sides of Hexadecagon*sin((3*pi)/8)/sin((7*pi)/16)
  • Diagonal across Six Sides of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin((3*pi)/8)
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