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Diagonal of Hexadecagon across five sides given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16))
d5 = (sqrt(A/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16))
This formula uses 1 Constants, 3 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
cot - Trigonometric cotangent function, cot(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d5 = (sqrt(A/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)) --> (sqrt(50/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16))
Evaluating ... ...
d5 = 6.72042216842881
STEP 3: Convert Result to Output's Unit
6.72042216842881 Meter --> No Conversion Required
FINAL ANSWER
6.72042216842881 Meter <-- Diagonal across five 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 five sides given area Formula

diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16))
d5 = (sqrt(A/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16))

What are properties of hexadecagon?

It has 104 diagonals. The sum of its interior angles is 2520°. If the hexadecagon is a regular hexadecagon, each of its interior angles measures 157.5 °.

How to Calculate Diagonal of Hexadecagon across five sides given area?

Diagonal of Hexadecagon across five sides given area calculator uses diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)) to calculate the Diagonal across five sides, Diagonal of Hexadecagon across five sides given area 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 area using this online calculator? To use this online calculator for Diagonal of Hexadecagon across five sides given area, enter Area (A) and hit the calculate button. Here is how the Diagonal of Hexadecagon across five sides given area calculation can be explained with given input values -> 6.720422 = (sqrt(50/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)).

FAQ

What is Diagonal of Hexadecagon across five sides given area?
Diagonal of Hexadecagon across five sides given area formula is defined as a straight line connecting two vertices of hexadecagon across 5 sides of hexadecagon and is represented as d5 = (sqrt(A/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)) or diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)). The area is the amount of two-dimensional space taken up by an object.
How to calculate Diagonal of Hexadecagon across five sides given area?
Diagonal of Hexadecagon across five sides given area formula is defined as a straight line connecting two vertices of hexadecagon across 5 sides of hexadecagon is calculated using diagonal_across_5_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(5*pi/16)/sin(pi/16)). To calculate Diagonal of Hexadecagon across five sides given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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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