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Area of Octagon given short diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2))
A = 2*((r/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Short diagonal - Short diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Short diagonal: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 2*((r/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)) --> 2*((5/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2))
Evaluating ... ...
A = 35.3553390593274
STEP 3: Convert Result to Output's Unit
35.3553390593274 Square Meter --> No Conversion Required
FINAL ANSWER
35.3553390593274 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

10+ Area of Octagon Calculators

Area of Octagon given circumradius
area = 2*(((2*Circumradius)/(sqrt(4+2*sqrt(2))))^2)*(1+sqrt(2)) Go
Area of Octagon given short diagonal
area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)) Go
Area of Octagon given medium diagonal
area = 2*((Medium diagonal/(1+sqrt(2)))^2)*(1+sqrt(2)) Go
Area of Octagon given long diagonal
area = 2*((Long diagonal/(4+2*sqrt(2)))^2)*(1+sqrt(2)) Go
Area of Octagon given inradius
area = 2*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2)) Go
Area of Octagon given height
area = 2*((Height/(1+sqrt(2)))^2)*(1+sqrt(2)) Go
Area of Octagon given perimeter
area = 2*((Perimeter/8)^2)*(1+sqrt(2)) Go
Area of Octagon
area = 2*(Side^2)/(1+sqrt(2)) Go
Area of Octagon given side and inradius
area = (8/2)*Side*Inradius Go
Area of Octagon given side
area = 4.828*(Side^2) Go

Area of Octagon given short diagonal Formula

area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2))
A = 2*((r/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2))

What is an octagon?

Octagon is a polygon in geometry, which has 8 sides and 8 angles. That means the number of vertices is 8 and the number of edges is 8. All the sides are joined with each other end-to-end to form a shape. These sides are in a straight line form; they are not curved or disjoint with each other. Each interior angle of a regular octagon is 135°

How to Calculate Area of Octagon given short diagonal?

Area of Octagon given short diagonal calculator uses area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)) to calculate the Area, The Area of Octagon given short diagonal formula is defined as measure of the total area that the surface of the object occupies of octagon, where A=2a^2/sqrt(2)-1 where a is side and A is area of octagon. Area and is denoted by A symbol.

How to calculate Area of Octagon given short diagonal using this online calculator? To use this online calculator for Area of Octagon given short diagonal, enter Short diagonal (r) and hit the calculate button. Here is how the Area of Octagon given short diagonal calculation can be explained with given input values -> 35.35534 = 2*((5/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)).

FAQ

What is Area of Octagon given short diagonal?
The Area of Octagon given short diagonal formula is defined as measure of the total area that the surface of the object occupies of octagon, where A=2a^2/sqrt(2)-1 where a is side and A is area of octagon and is represented as A = 2*((r/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)) or area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)). Short diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Area of Octagon given short diagonal?
The Area of Octagon given short diagonal formula is defined as measure of the total area that the surface of the object occupies of octagon, where A=2a^2/sqrt(2)-1 where a is side and A is area of octagon is calculated using area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2)). To calculate Area of Octagon given short diagonal, you need Short diagonal (r). With our tool, you need to enter the respective value for Short diagonal 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 Short diagonal. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • area = (8/2)*Side*Inradius
  • area = 4.828*(Side^2)
  • area = 2*(Side^2)/(1+sqrt(2))
  • area = 2*((Long diagonal/(4+2*sqrt(2)))^2)*(1+sqrt(2))
  • area = 2*((Medium diagonal/(1+sqrt(2)))^2)*(1+sqrt(2))
  • area = 2*((Short diagonal/(sqrt(2+sqrt(2))))^2)*(1+sqrt(2))
  • area = 2*((Height/(1+sqrt(2)))^2)*(1+sqrt(2))
  • area = 2*((Perimeter/8)^2)*(1+sqrt(2))
  • area = 2*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2))
  • area = 2*(((2*Circumradius)/(sqrt(4+2*sqrt(2))))^2)*(1+sqrt(2))
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