Side of Hexadecagon given Diagonal across Four Sides Calculator

✖Diagonal across four sides of Hexadecagon is the straight line joining two non-adjacent vertices across four sides of Hexadecagon.ⓘ Diagonal across Four Sides of Hexadecagon [d₄]

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✖Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.ⓘ Side of Hexadecagon given Diagonal across Four Sides [S]

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Side of Hexadecagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)
S = sqrt(2)*d₄*sin(pi/16)
This formula uses 1 Constants, 2 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)
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

Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.
Diagonal across Four Sides of Hexadecagon - (Measured in Meter) - Diagonal across four sides of Hexadecagon is the straight line joining two non-adjacent vertices across four sides of Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Four Sides of Hexadecagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = sqrt(2)*d₄*sin(pi/16) --> sqrt(2)*18*sin(pi/16)

Evaluating ... ...

S = 4.96618882709297

STEP 3: Convert Result to Output's Unit

4.96618882709297 Meter --> No Conversion Required

FINAL ANSWER

4.96618882709297 ≈ 4.966189 Meter <-- Side of Hexadecagon

(Calculation completed in 00.020 seconds)

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< Side of Hexadecagon Calculators

Side of Hexadecagon given Diagonal across Three Sides

LaTeX Go Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)

Side of Hexadecagon given Diagonal across Two Sides

LaTeX Go Side of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)

Side of Hexadecagon given Diagonal across Four Sides

LaTeX Go Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)

Side of Hexadecagon given Area

LaTeX Go Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

Side of Hexadecagon given Diagonal across Four Sides Formula

LaTeX Go

Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)
S = sqrt(2)*d₄*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 Side of Hexadecagon given Diagonal across Four Sides?

Side of Hexadecagon given Diagonal across Four Sides calculator uses Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16) to calculate the Side of Hexadecagon, Side of Hexadecagon given Diagonal across Four Sides formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using diagonal across four sides. Side of Hexadecagon is denoted by S symbol.

How to calculate Side of Hexadecagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Side of Hexadecagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Hexadecagon (d₄) and hit the calculate button. Here is how the Side of Hexadecagon given Diagonal across Four Sides calculation can be explained with given input values -> 4.966189 = sqrt(2)*18*sin(pi/16).

FAQ

What is Side of Hexadecagon given Diagonal across Four Sides?

Side of Hexadecagon given Diagonal across Four Sides formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using diagonal across four sides and is represented as S = sqrt(2)*d₄*sin(pi/16) or Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16). Diagonal across four sides of Hexadecagon is the straight line joining two non-adjacent vertices across four sides of Hexadecagon.

How to calculate Side of Hexadecagon given Diagonal across Four Sides?

Side of Hexadecagon given Diagonal across Four Sides formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using diagonal across four sides is calculated using Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16). To calculate Side of Hexadecagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Hexadecagon (d₄). With our tool, you need to enter the respective value for Diagonal across Four Sides 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 Side of Hexadecagon?

In this formula, Side of Hexadecagon uses Diagonal across Four Sides of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)
Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

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