Area of Dodecagon given Perimeter Calculator

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

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

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Area of Dodecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2
A = (2+sqrt(3))/48*P^2
This formula uses 1 Functions, 2 Variables

Functions Used

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

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

STEP 1: Convert Input(s) to Base Unit

Perimeter of Dodecagon: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (2+sqrt(3))/48*P^2 --> (2+sqrt(3))/48*120^2

Evaluating ... ...

A = 1119.61524227066

STEP 3: Convert Result to Output's Unit

1119.61524227066 Square Meter --> No Conversion Required

FINAL ANSWER

1119.61524227066 ≈ 1119.615 Square Meter <-- Area of Dodecagon

(Calculation completed in 00.004 seconds)

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< Area of Dodecagon Calculators

Area of Dodecagon given Diagonal across Four Sides

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^2

Area of Dodecagon given Diagonal across Two Sides

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2))^2

Area of Dodecagon given Diagonal across Three Sides

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1))^2

Area of Dodecagon given Diagonal across Five Sides

LaTeX Go Area of Dodecagon = 3*Diagonal Across Five Sides of Dodecagon^2/(2+sqrt(3))

Area of Dodecagon given Perimeter Formula

LaTeX Go

Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2
A = (2+sqrt(3))/48*P^2

What is Dodecagon?

A regular Dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Area of Dodecagon given Perimeter?

Area of Dodecagon given Perimeter calculator uses Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2 to calculate the Area of Dodecagon, Area of Dodecagon given Perimeter formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using perimeter. Area of Dodecagon is denoted by A symbol.

How to calculate Area of Dodecagon given Perimeter using this online calculator? To use this online calculator for Area of Dodecagon given Perimeter, enter Perimeter of Dodecagon (P) and hit the calculate button. Here is how the Area of Dodecagon given Perimeter calculation can be explained with given input values -> 1119.615 = (2+sqrt(3))/48*120^2.

FAQ

What is Area of Dodecagon given Perimeter?

Area of Dodecagon given Perimeter formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using perimeter and is represented as A = (2+sqrt(3))/48*P^2 or Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2. Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

How to calculate Area of Dodecagon given Perimeter?

Area of Dodecagon given Perimeter formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using perimeter is calculated using Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2. To calculate Area of Dodecagon given Perimeter, you need Perimeter of Dodecagon (P). With our tool, you need to enter the respective value for Perimeter of Dodecagon 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 Dodecagon?

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

Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2))^2
Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1))^2
Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^2

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