Area of Hexadecagon given Perimeter Calculator

✖Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.ⓘ Perimeter of Hexadecagon [P]

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✖Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.ⓘ Area of Hexadecagon given Perimeter [A]

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Area of Hexadecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Perimeter of Hexadecagon: 80 Meter --> 80 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 4*(P/16)^2*cot(pi/16) --> 4*(80/16)^2*cot(pi/16)

Evaluating ... ...

A = 502.733949212585

STEP 3: Convert Result to Output's Unit

502.733949212585 Square Meter --> No Conversion Required

FINAL ANSWER

502.733949212585 ≈ 502.7339 Square Meter <-- Area of Hexadecagon

(Calculation completed in 00.004 seconds)

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< Area of Hexadecagon Calculators

Area of Hexadecagon given Diagonal across Seven Sides

LaTeX Go Area of Hexadecagon = 4*(Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16))^2*cot(pi/16)

Area of Hexadecagon given Diagonal across Six Sides

LaTeX Go Area of Hexadecagon = 4*(Diagonal across Six Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/8))^2*cot(pi/16)

Area of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Area of Hexadecagon = 4*(Diagonal across Eight Sides of Hexadecagon*sin(pi/16))^2*cot(pi/16)

Area of Hexadecagon

LaTeX Go Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16)

< Area of Hexadecagon Calculators

Area of Hexadecagon given Perimeter

LaTeX Go Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)

Area of Hexadecagon given Height

LaTeX Go Area of Hexadecagon = 4*Height of Hexadecagon^2*tan(pi/16)

Area of Hexadecagon

LaTeX Go Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16)

Area of Hexadecagon given Perimeter Formula

LaTeX Go

Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16)
A = 4*(P/16)^2*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 Area of Hexadecagon given Perimeter?

Area of Hexadecagon given Perimeter calculator uses Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16) to calculate the Area of Hexadecagon, The Area of Hexadecagon given Perimeter formula is defined the amount or quantity of space occupied by Hexadecagon in the plane, calculated using perimeter. Area of Hexadecagon is denoted by A symbol.

How to calculate Area of Hexadecagon given Perimeter using this online calculator? To use this online calculator for Area of Hexadecagon given Perimeter, enter Perimeter of Hexadecagon (P) and hit the calculate button. Here is how the Area of Hexadecagon given Perimeter calculation can be explained with given input values -> 502.7339 = 4*(80/16)^2*cot(pi/16).

FAQ

What is Area of Hexadecagon given Perimeter?

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

How to calculate Area of Hexadecagon given Perimeter?

The Area of Hexadecagon given Perimeter formula is defined the amount or quantity of space occupied by Hexadecagon in the plane, calculated using perimeter is calculated using Area of Hexadecagon = 4*(Perimeter of Hexadecagon/16)^2*cot(pi/16). To calculate Area of Hexadecagon given Perimeter, you need Perimeter of Hexadecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Area of Hexadecagon?

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

Area of Hexadecagon = 4*Side of Hexadecagon^2*cot(pi/16)
Area of Hexadecagon = 4*(Diagonal across Eight Sides of Hexadecagon*sin(pi/16))^2*cot(pi/16)
Area of Hexadecagon = 4*(Diagonal across Seven Sides of Hexadecagon*sin(pi/16)/sin((7*pi)/16))^2*cot(pi/16)

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