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Area of Octagon given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 2*((Perimeter/8)^2)*(1+sqrt(2))
A = 2*((P/8)^2)*(1+sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 2*((P/8)^2)*(1+sqrt(2)) --> 2*((20/8)^2)*(1+sqrt(2))
Evaluating ... ...
A = 30.1776695296637
STEP 3: Convert Result to Output's Unit
30.1776695296637 Square Meter --> No Conversion Required
FINAL ANSWER
30.1776695296637 Square Meter <-- Area
(Calculation completed in 00.016 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 perimeter Formula

area = 2*((Perimeter/8)^2)*(1+sqrt(2))
A = 2*((P/8)^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 perimeter?

Area of Octagon given perimeter calculator uses area = 2*((Perimeter/8)^2)*(1+sqrt(2)) to calculate the Area, The Area of Octagon given perimeter 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 perimeter using this online calculator? To use this online calculator for Area of Octagon given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Area of Octagon given perimeter calculation can be explained with given input values -> 30.17767 = 2*((20/8)^2)*(1+sqrt(2)).

FAQ

What is Area of Octagon given perimeter?
The Area of Octagon given perimeter 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*((P/8)^2)*(1+sqrt(2)) or area = 2*((Perimeter/8)^2)*(1+sqrt(2)). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of Octagon given perimeter?
The Area of Octagon given perimeter 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*((Perimeter/8)^2)*(1+sqrt(2)). To calculate Area of Octagon given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter. 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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