Perimeter of Hexadecagon given Area Calculator

Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16)))
P = 16*sqrt(A/(4*cot(pi/16)))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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

Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hexadecagon: 500 Square Meter --> 500 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 16*sqrt(A/(4*cot(pi/16))) --> 16*sqrt(500/(4*cot(pi/16)))

Evaluating ... ...

P = 79.782176932878

STEP 3: Convert Result to Output's Unit

79.782176932878 Meter --> No Conversion Required

FINAL ANSWER

79.782176932878 ≈ 79.78218 Meter <-- Perimeter of Hexadecagon

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Hexadecagon » Perimeter of Hexadecagon » Perimeter of Hexadecagon given Area

Credits

Created by Himanshu Srivastava

Lloyd Business School (LBS), Greater Noida

Himanshu Srivastava has created this Calculator and 100+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

< 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 Area Formula

Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16)))
P = 16*sqrt(A/(4*cot(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 Area?

Perimeter of Hexadecagon given Area calculator uses Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16))) to calculate the Perimeter of Hexadecagon, The Perimeter of Hexadecagon given Area formula is defined as the total distance around the edge of the Hexadecagon, calculated using the area. Perimeter of Hexadecagon is denoted by P symbol.

How to calculate Perimeter of Hexadecagon given Area using this online calculator? To use this online calculator for Perimeter of Hexadecagon given Area, enter Area of Hexadecagon (A) and hit the calculate button. Here is how the Perimeter of Hexadecagon given Area calculation can be explained with given input values -> 79.78218 = 16*sqrt(500/(4*cot(pi/16))).

FAQ

What is Perimeter of Hexadecagon given Area?

The Perimeter of Hexadecagon given Area formula is defined as the total distance around the edge of the Hexadecagon, calculated using the area and is represented as P = 16*sqrt(A/(4*cot(pi/16))) or Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16))). Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

How to calculate Perimeter of Hexadecagon given Area?

The Perimeter of Hexadecagon given Area formula is defined as the total distance around the edge of the Hexadecagon, calculated using the area is calculated using Perimeter of Hexadecagon = 16*sqrt(Area of Hexadecagon/(4*cot(pi/16))). To calculate Perimeter of Hexadecagon given Area, you need Area of Hexadecagon (A). With our tool, you need to enter the respective value for Area 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 Area 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*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))
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*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*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))

Home

FREE PDFs

🔍 Search