Area of Dodecagon given Inradius Calculator

✖Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.ⓘ Inradius of Dodecagon [r_i]

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

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Area of Dodecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3))
A = (12*r_i^2)/(2+sqrt(3))
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.
Inradius of Dodecagon - (Measured in Meter) - Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Dodecagon: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (12*r_i^2)/(2+sqrt(3)) --> (12*19^2)/(2+sqrt(3))

Evaluating ... ...

A = 1160.75590161162

STEP 3: Convert Result to Output's Unit

1160.75590161162 Square Meter --> No Conversion Required

FINAL ANSWER

1160.75590161162 ≈ 1160.756 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 Inradius Formula

LaTeX Go

Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3))
A = (12*r_i^2)/(2+sqrt(3))

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 Inradius?

Area of Dodecagon given Inradius calculator uses Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3)) to calculate the Area of Dodecagon, Area of Dodecagon given Inradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using inradius. Area of Dodecagon is denoted by A symbol.

How to calculate Area of Dodecagon given Inradius using this online calculator? To use this online calculator for Area of Dodecagon given Inradius, enter Inradius of Dodecagon (r_i) and hit the calculate button. Here is how the Area of Dodecagon given Inradius calculation can be explained with given input values -> 1160.756 = (12*19^2)/(2+sqrt(3)).

FAQ

What is Area of Dodecagon given Inradius?

Area of Dodecagon given Inradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using inradius and is represented as A = (12*r_i^2)/(2+sqrt(3)) or Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3)). Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

How to calculate Area of Dodecagon given Inradius?

Area of Dodecagon given Inradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using inradius is calculated using Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3)). To calculate Area of Dodecagon given Inradius, you need Inradius of Dodecagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius 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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