Perimeter of Hexadecagon given Diagonal across Five Sides Calculator

✖Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.ⓘ Diagonal across Five Sides of Hexadecagon [d₅]

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✖Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.ⓘ Perimeter of Hexadecagon given Diagonal across Five Sides [P]

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Perimeter of Hexadecagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16)
P = 16*d₅*sin(pi/16)/sin((5*pi)/16)
This formula uses 1 Constants, 1 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)

Variables Used

Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.
Diagonal across Five Sides of Hexadecagon - (Measured in Meter) - Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Hexadecagon: 21 Meter --> 21 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 16*d₅*sin(pi/16)/sin((5*pi)/16) --> 16*21*sin(pi/16)/sin((5*pi)/16)

Evaluating ... ...

P = 78.8367334506597

STEP 3: Convert Result to Output's Unit

78.8367334506597 Meter --> No Conversion Required

FINAL ANSWER

78.8367334506597 ≈ 78.83673 Meter <-- Perimeter of Hexadecagon

(Calculation completed in 00.020 seconds)

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< Perimeter of Hexadecagon Calculators

Perimeter of Hexadecagon given Diagonal across Two Sides

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

Perimeter of Hexadecagon given Height

LaTeX Go Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))

Perimeter of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Perimeter of Hexadecagon = 16*Diagonal across Eight Sides of Hexadecagon*sin(pi/16)

Perimeter of Hexadecagon

LaTeX Go Perimeter of Hexadecagon = 16*Side of Hexadecagon

Perimeter of Hexadecagon given Diagonal across Five Sides Formula

LaTeX Go

Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16)
P = 16*d₅*sin(pi/16)/sin((5*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 Perimeter of Hexadecagon given Diagonal across Five Sides?

Perimeter of Hexadecagon given Diagonal across Five Sides calculator uses Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16) to calculate the Perimeter of Hexadecagon, Perimeter of Hexadecagon given Diagonal across Five Sides formula is defined as the total distance around the edge of the figure, calculated using a diagonal across five sides. Perimeter of Hexadecagon is denoted by P symbol.

How to calculate Perimeter of Hexadecagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Perimeter of Hexadecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hexadecagon (d₅) and hit the calculate button. Here is how the Perimeter of Hexadecagon given Diagonal across Five Sides calculation can be explained with given input values -> 78.83673 = 16*21*sin(pi/16)/sin((5*pi)/16).

FAQ

What is Perimeter of Hexadecagon given Diagonal across Five Sides?

Perimeter of Hexadecagon given Diagonal across Five Sides formula is defined as the total distance around the edge of the figure, calculated using a diagonal across five sides and is represented as P = 16*d₅*sin(pi/16)/sin((5*pi)/16) or Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16). Diagonal across Five Sides of Hexadecagon is the straight line joining two non-adjacent vertices across five sides of Hexadecagon.

How to calculate Perimeter of Hexadecagon given Diagonal across Five Sides?

Perimeter of Hexadecagon given Diagonal across Five Sides formula is defined as the total distance around the edge of the figure, calculated using a diagonal across five sides is calculated using Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16). To calculate Perimeter of Hexadecagon given Diagonal across Five Sides, you need Diagonal across Five Sides of Hexadecagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five 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 Perimeter of Hexadecagon?

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

Perimeter of Hexadecagon = 16*Side of Hexadecagon
Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))

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