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Diagonal of Hexadecagon across four sides given side Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side)
d4 = ((sqrt(2)/2)/(sin(pi/16)))*(S)
This formula uses 1 Constants, 2 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = ((sqrt(2)/2)/(sin(pi/16)))*(S) --> ((sqrt(2)/2)/(sin(pi/16)))*(9)
Evaluating ... ...
d4 = 32.620588068704
STEP 3: Convert Result to Output's Unit
32.620588068704 Meter --> No Conversion Required
FINAL ANSWER
32.620588068704 Meter <-- Diagonal across four sides
(Calculation completed in 00.016 seconds)

4 Diagonal of Hexadecagon across five and four sides Calculators

Diagonal of Hexadecagon across five sides given area
diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)) Go
Diagonal of Hexadecagon across five sides given height
diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16)) Go
Diagonal of Hexadecagon across five sides given side
diagonal_across_5_sides = ((sin(5*pi/16))/(sin(pi/16)))*(Side) Go
Diagonal of Hexadecagon across four sides given side
diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side) Go

Diagonal of Hexadecagon across four sides given side Formula

diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side)
d4 = ((sqrt(2)/2)/(sin(pi/16)))*(S)

What is hexadecagon?

A regular hexadecagon is a hexadecagon in which all angles are equal and all sides are congruent. Its Schläfli symbol is {16} and can be constructed as a truncated octagon, t{8}, and a twice-truncated square tt{4}.

How to Calculate Diagonal of Hexadecagon across four sides given side?

Diagonal of Hexadecagon across four sides given side calculator uses diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side) to calculate the Diagonal across four sides, Diagonal of Hexadecagon across four sides given side formula is defined as a straight line connecting two vertices of hexadecagon across 4 sides of hexadecagon. Diagonal across four sides and is denoted by d4 symbol.

How to calculate Diagonal of Hexadecagon across four sides given side using this online calculator? To use this online calculator for Diagonal of Hexadecagon across four sides given side, enter Side (S) and hit the calculate button. Here is how the Diagonal of Hexadecagon across four sides given side calculation can be explained with given input values -> 32.62059 = ((sqrt(2)/2)/(sin(pi/16)))*(9).

FAQ

What is Diagonal of Hexadecagon across four sides given side?
Diagonal of Hexadecagon across four sides given side formula is defined as a straight line connecting two vertices of hexadecagon across 4 sides of hexadecagon and is represented as d4 = ((sqrt(2)/2)/(sin(pi/16)))*(S) or diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Diagonal of Hexadecagon across four sides given side?
Diagonal of Hexadecagon across four sides given side formula is defined as a straight line connecting two vertices of hexadecagon across 4 sides of hexadecagon is calculated using diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side). To calculate Diagonal of Hexadecagon across four sides given side, you need Side (S). With our tool, you need to enter the respective value for Side 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 four sides?
In this formula, Diagonal across four sides uses Side. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_4_sides = ((sqrt(2)/2)/(sin(pi/16)))*(Side)
  • diagonal_across_5_sides = ((sin(5*pi/16))/(sin(pi/16)))*(Side)
  • diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16))
  • diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16))
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