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Area of Octagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 2*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2))
A = 2*(((2*ri)/(1+sqrt(2)))^2)*(1+sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 2*(((2*ri)/(1+sqrt(2)))^2)*(1+sqrt(2)) --> 2*(((2*10)/(1+sqrt(2)))^2)*(1+sqrt(2))
Evaluating ... ...
A = 331.370849898476
STEP 3: Convert Result to Output's Unit
331.370849898476 Square Meter --> No Conversion Required
FINAL ANSWER
331.370849898476 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 inradius Formula

area = 2*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2))
A = 2*(((2*ri)/(1+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 inradius?

Area of Octagon given inradius calculator uses area = 2*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2)) to calculate the Area, The Area of Octagon given inradius 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 inradius using this online calculator? To use this online calculator for Area of Octagon given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Area of Octagon given inradius calculation can be explained with given input values -> 331.3708 = 2*(((2*10)/(1+sqrt(2)))^2)*(1+sqrt(2)).

FAQ

What is Area of Octagon given inradius?
The Area of Octagon given inradius 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*(((2*ri)/(1+sqrt(2)))^2)*(1+sqrt(2)) or area = 2*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Area of Octagon given inradius?
The Area of Octagon given inradius 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*(((2*Inradius)/(1+sqrt(2)))^2)*(1+sqrt(2)). To calculate Area of Octagon given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius. 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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