Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 400+ more calculators!

Area of Dodecagon given diagonal across six sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2)
A = (3*(2+sqrt(3)))*((d6/(sqrt(6)+sqrt(2)))^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across six sides - Diagonal across six sides is a straight line joining two opposite sides which is across six sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across six sides: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3*(2+sqrt(3)))*((d6/(sqrt(6)+sqrt(2)))^2) --> (3*(2+sqrt(3)))*((13/(sqrt(6)+sqrt(2)))^2)
Evaluating ... ...
A = 126.75
STEP 3: Convert Result to Output's Unit
126.75 Square Meter --> No Conversion Required
FINAL ANSWER
126.75 Square Meter <-- Area
(Calculation completed in 00.016 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 six sides Formula

area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2)
A = (3*(2+sqrt(3)))*((d6/(sqrt(6)+sqrt(2)))^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 and 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 diagonal across six sides?

Area of Dodecagon given diagonal across six sides calculator uses area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2) to calculate the Area, Area of Dodecagon given diagonal across six sides formula is defined as amount or quantity space occupied by dodecagon. Area and is denoted by A symbol.

How to calculate Area of Dodecagon given diagonal across six sides using this online calculator? To use this online calculator for Area of Dodecagon given diagonal across six sides, enter Diagonal across six sides (d6) and hit the calculate button. Here is how the Area of Dodecagon given diagonal across six sides calculation can be explained with given input values -> 126.75 = (3*(2+sqrt(3)))*((13/(sqrt(6)+sqrt(2)))^2).

FAQ

What is Area of Dodecagon given diagonal across six sides?
Area of Dodecagon given diagonal across six sides formula is defined as amount or quantity space occupied by dodecagon and is represented as A = (3*(2+sqrt(3)))*((d6/(sqrt(6)+sqrt(2)))^2) or area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2). Diagonal across six sides is a straight line joining two opposite sides which is across six sides of the given polygon.
How to calculate Area of Dodecagon given diagonal across six sides?
Area of Dodecagon given diagonal across six sides formula is defined as amount or quantity space occupied by dodecagon is calculated using area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2). To calculate Area of Dodecagon given diagonal across six sides, you need Diagonal across six sides (d6). With our tool, you need to enter the respective value for Diagonal across six 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 six 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
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!