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Diagonal of Hexadecagon across three sides given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16))
d3 = (sqrt(A/(4*cot(pi/16))))* (sin(3*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
d3 = (sqrt(A/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16)) --> (sqrt(50/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16))
Evaluating ... ...
d3 = 4.49044253074343
STEP 3: Convert Result to Output's Unit
4.49044253074343 Meter --> No Conversion Required
FINAL ANSWER
4.49044253074343 Meter <-- Diagonal across three sides
(Calculation completed in 00.015 seconds)

3 Diagonal of Hexadecagon across three sides Calculators

Diagonal of Hexadecagon across three sides given area
diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16)) Go
Diagonal of Hexadecagon across three sides given height
diagonal_across_3_sides = (Height)*(sin(3*pi/16)/sin(7*pi/16)) Go
Diagonal of Hexadecagon across three sides given side
diagonal_across_3_sides = ((sin(3*pi/16))/(sin(pi/16)))*(Side) Go

Diagonal of Hexadecagon across three sides given area Formula

diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16))
d3 = (sqrt(A/(4*cot(pi/16))))* (sin(3*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 three sides given area?

Diagonal of Hexadecagon across three sides given area calculator uses diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16)) to calculate the Diagonal across three sides, Diagonal of Hexadecagon across three sides given area formula is defined as a straight line connecting two vertices of hexadecagon across 3 sides of hexadecagon. Diagonal across three sides and is denoted by d3 symbol.

How to calculate Diagonal of Hexadecagon across three sides given area using this online calculator? To use this online calculator for Diagonal of Hexadecagon across three sides given area, enter Area (A) and hit the calculate button. Here is how the Diagonal of Hexadecagon across three sides given area calculation can be explained with given input values -> 4.490443 = (sqrt(50/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16)).

FAQ

What is Diagonal of Hexadecagon across three sides given area?
Diagonal of Hexadecagon across three sides given area formula is defined as a straight line connecting two vertices of hexadecagon across 3 sides of hexadecagon and is represented as d3 = (sqrt(A/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16)) or diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*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 three sides given area?
Diagonal of Hexadecagon across three sides given area formula is defined as a straight line connecting two vertices of hexadecagon across 3 sides of hexadecagon is calculated using diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16)). To calculate Diagonal of Hexadecagon across three 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 three sides?
In this formula, Diagonal across three sides uses Area. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_3_sides = ((sin(3*pi/16))/(sin(pi/16)))*(Side)
  • diagonal_across_3_sides = (Height)*(sin(3*pi/16)/sin(7*pi/16))
  • diagonal_across_3_sides = (sqrt(Area/(4*cot(pi/16))))* (sin(3*pi/16)/sin(pi/16))
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