Perimeter of Hexadecagon given Height Calculator

Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))
P = 16*h*(sin(pi/16))/(sin((7*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.
Height of Hexadecagon - (Measured in Meter) - Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Hexadecagon: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 16*h*(sin(pi/16))/(sin((7*pi)/16)) --> 16*25*(sin(pi/16))/(sin((7*pi)/16))

Evaluating ... ...

P = 79.5649469518632

STEP 3: Convert Result to Output's Unit

79.5649469518632 Meter --> No Conversion Required

FINAL ANSWER

79.5649469518632 ≈ 79.56495 Meter <-- Perimeter of Hexadecagon

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 12 Perimeter of Hexadecagon Calculators

Perimeter of Hexadecagon given Circumradius

Go Perimeter of Hexadecagon = 16*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

Perimeter of Hexadecagon given Diagonal across Seven Sides

Go Perimeter of Hexadecagon = 16*Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16)

Perimeter of Hexadecagon given Diagonal across Three Sides

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

Perimeter of Hexadecagon given Diagonal across Five Sides

Go Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16)

Perimeter of Hexadecagon given Diagonal across Six Sides

Go Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8)

Perimeter of Hexadecagon given Diagonal across Two Sides

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

Perimeter of Hexadecagon given Height

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

Perimeter of Hexadecagon given Diagonal across Four Sides

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

Perimeter of Hexadecagon given Inradius

Go Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))))

Perimeter of Hexadecagon given Area

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

Perimeter of Hexadecagon given Diagonal across Eight Sides

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

Perimeter of Hexadecagon

Go Perimeter of Hexadecagon = 16*Side of Hexadecagon

< 3 Perimeter of Hexadecagon Calculators

Perimeter of Hexadecagon given Height

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

Perimeter of Hexadecagon given Area

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

Perimeter of Hexadecagon

Go Perimeter of Hexadecagon = 16*Side of Hexadecagon

Perimeter of Hexadecagon given Height Formula

Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))
P = 16*h*(sin(pi/16))/(sin((7*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 Height?

Perimeter of Hexadecagon given Height calculator uses Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16)) to calculate the Perimeter of Hexadecagon, Perimeter of Hexadecagon given Height formula is defined as the total distance around the edge of the figure, calculated using height. Perimeter of Hexadecagon is denoted by P symbol.

How to calculate Perimeter of Hexadecagon given Height using this online calculator? To use this online calculator for Perimeter of Hexadecagon given Height, enter Height of Hexadecagon (h) and hit the calculate button. Here is how the Perimeter of Hexadecagon given Height calculation can be explained with given input values -> 79.56495 = 16*25*(sin(pi/16))/(sin((7*pi)/16)).

FAQ

What is Perimeter of Hexadecagon given Height?

Perimeter of Hexadecagon given Height formula is defined as the total distance around the edge of the figure, calculated using height and is represented as P = 16*h*(sin(pi/16))/(sin((7*pi)/16)) or Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16)). Height of Hexadecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Perimeter of Hexadecagon given Height?

Perimeter of Hexadecagon given Height formula is defined as the total distance around the edge of the figure, calculated using height is calculated using Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16)). To calculate Perimeter of Hexadecagon given Height, you need Height of Hexadecagon (h). With our tool, you need to enter the respective value for Height 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 Height of Hexadecagon. We can use 13 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*Diagonal across Eight Sides of Hexadecagon*sin(pi/16)
Perimeter of Hexadecagon = 16*Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16)
Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8)
Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*sin(pi/16)/sin((5*pi)/16)
Perimeter of Hexadecagon = 16*sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)
Perimeter of Hexadecagon = 16*Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)
Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16)))
Perimeter of Hexadecagon = 16*Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))))
Perimeter of Hexadecagon = 16*Side of Hexadecagon
Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16)))

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