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Diagonal of Hexadecagon across five sides given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16))
d5 = (h)*(sin(5*pi/16)/sin(7*pi/16))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d5 = (h)*(sin(5*pi/16)/sin(7*pi/16)) --> (12)*(sin(5*pi/16)/sin(7*pi/16))
Evaluating ... ...
d5 = 10.1731087802709
STEP 3: Convert Result to Output's Unit
10.1731087802709 Meter --> No Conversion Required
FINAL ANSWER
10.1731087802709 Meter <-- Diagonal across five sides
(Calculation completed in 00.000 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 five sides given height Formula

diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16))
d5 = (h)*(sin(5*pi/16)/sin(7*pi/16))

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 five sides given height?

Diagonal of Hexadecagon across five sides given height calculator uses diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16)) to calculate the Diagonal across five sides, Diagonal of Hexadecagon across five sides given height formula is defined as a straight line connecting two vertices of hexadecagon across 5 sides of hexadecagon. Diagonal across five sides and is denoted by d5 symbol.

How to calculate Diagonal of Hexadecagon across five sides given height using this online calculator? To use this online calculator for Diagonal of Hexadecagon across five sides given height, enter Height (h) and hit the calculate button. Here is how the Diagonal of Hexadecagon across five sides given height calculation can be explained with given input values -> 10.17311 = (12)*(sin(5*pi/16)/sin(7*pi/16)).

FAQ

What is Diagonal of Hexadecagon across five sides given height?
Diagonal of Hexadecagon across five sides given height formula is defined as a straight line connecting two vertices of hexadecagon across 5 sides of hexadecagon and is represented as d5 = (h)*(sin(5*pi/16)/sin(7*pi/16)) or diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Diagonal of Hexadecagon across five sides given height?
Diagonal of Hexadecagon across five sides given height formula is defined as a straight line connecting two vertices of hexadecagon across 5 sides of hexadecagon is calculated using diagonal_across_5_sides = (Height)*(sin(5*pi/16)/sin(7*pi/16)). To calculate Diagonal of Hexadecagon across five sides given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 five sides?
In this formula, Diagonal across five sides uses Height. 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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