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Area of Dodecagon given diagonal across four sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2)
A = (3*(2+sqrt(3)))*((d4/(((3*sqrt(2))+sqrt(6))/2))^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across four sides - Diagonal across four sides is a straight line joining two opposite sides which is across four sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across four sides: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3*(2+sqrt(3)))*((d4/(((3*sqrt(2))+sqrt(6))/2))^2) --> (3*(2+sqrt(3)))*((9/(((3*sqrt(2))+sqrt(6))/2))^2)
Evaluating ... ...
A = 81
STEP 3: Convert Result to Output's Unit
81 Square Meter --> No Conversion Required
FINAL ANSWER
81 Square Meter <-- Area
(Calculation completed in 00.015 seconds)

8 Area and Angles of Dodecagon Calculators

Area of Dodecagon given diagonal across four sides
area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2) Go
Area of Dodecagon given diagonal across two sides
area = (3*(2+sqrt(3)))*((Diagonal across two sides/((sqrt(2)+sqrt(6))/2))^2) Go
Area of Dodecagon given diagonal across six sides
area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2) Go
Area of Dodecagon given diagonal across three sides
area = (3*(2+sqrt(3)))*((Diagonal across three sides/(1+sqrt(3)))^2) Go
Area of Dodecagon given diagonal across five sides
area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2) Go
Area of Dodecagon given side
area = 3*(2+sqrt(3))*(Side A)^2 Go
Sum of interior angles of Dodecagon
sum_of_angles = 12*Interior Angle Go
Interior angle of Dodecagon
interior_angle = Sum of Angles/12 Go

Area of Dodecagon given diagonal across four sides Formula

area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2)
A = (3*(2+sqrt(3)))*((d4/(((3*sqrt(2))+sqrt(6))/2))^2)

What are properties of dodecagon?

All the 12 sides of a regular dodecagon are of equal length. The vertices are equidistant from the center. A regular dodecagon is a 12-sided polygon that is symmetrical. It has 12 interior angles

How to Calculate Area of Dodecagon given diagonal across four sides?

Area of Dodecagon given diagonal across four sides calculator uses area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2) to calculate the Area, Area of Dodecagon given diagonal across four sides of Dodecagon formula is defined as quantity that expresses the extent or amount of space occupied by a two-dimensional region of dodecagon in the plane. Area and is denoted by A symbol.

How to calculate Area of Dodecagon given diagonal across four sides using this online calculator? To use this online calculator for Area of Dodecagon given diagonal across four sides, enter Diagonal across four sides (d4) and hit the calculate button. Here is how the Area of Dodecagon given diagonal across four sides calculation can be explained with given input values -> 81 = (3*(2+sqrt(3)))*((9/(((3*sqrt(2))+sqrt(6))/2))^2).

FAQ

What is Area of Dodecagon given diagonal across four sides?
Area of Dodecagon given diagonal across four sides of Dodecagon formula is defined as quantity that expresses the extent or amount of space occupied by a two-dimensional region of dodecagon in the plane and is represented as A = (3*(2+sqrt(3)))*((d4/(((3*sqrt(2))+sqrt(6))/2))^2) or area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2). Diagonal across four sides is a straight line joining two opposite sides which is across four sides of the given polygon.
How to calculate Area of Dodecagon given diagonal across four sides?
Area of Dodecagon given diagonal across four sides of Dodecagon formula is defined as quantity that expresses the extent or amount of space occupied by a two-dimensional region of dodecagon in the plane is calculated using area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2). To calculate Area of Dodecagon given diagonal across four sides, you need Diagonal across four sides (d4). With our tool, you need to enter the respective value for Diagonal across four sides 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?
In this formula, Area uses Diagonal across four sides. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • area = (3*(2+sqrt(3)))*((Diagonal across two sides/((sqrt(2)+sqrt(6))/2))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across three sides/(1+sqrt(3)))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2)
  • area = 3*(2+sqrt(3))*(Side A)^2
  • sum_of_angles = 12*Interior Angle
  • interior_angle = Sum of Angles/12
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