Area of Octagon given Inradius Calculator

✖The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.ⓘ Inradius of Octagon [r_i]

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✖The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.ⓘ Area of Octagon given Inradius [A]

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Area of Octagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2
A = 8*(sqrt(2)-1)*r_i^2
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Area of Octagon - (Measured in Square Meter) - The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.
Inradius of Octagon - (Measured in Meter) - The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Octagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 8*(sqrt(2)-1)*r_i^2 --> 8*(sqrt(2)-1)*12^2

Evaluating ... ...

A = 477.174023853806

STEP 3: Convert Result to Output's Unit

477.174023853806 Square Meter --> No Conversion Required

FINAL ANSWER

477.174023853806 ≈ 477.174 Square Meter <-- Area of Octagon

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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< Area of Octagon Calculators

Area of Octagon given Edge Length and Inradius

LaTeX Go Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon

Area of Octagon given Long Diagonal

LaTeX Go Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2))

Area of Octagon given Edge Length

LaTeX Go Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2

Area of Octagon given edge

LaTeX Go Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2

Area of Octagon given Inradius Formula

LaTeX Go

Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2
A = 8*(sqrt(2)-1)*r_i^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° and each exterior angle will be 45°.

How to Calculate Area of Octagon given Inradius?

Area of Octagon given Inradius calculator uses Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2 to calculate the Area of Octagon, The Area of Octagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the inradius of the Octagon. Area of Octagon 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 of Octagon (r_i) and hit the calculate button. Here is how the Area of Octagon given Inradius calculation can be explained with given input values -> 477.174 = 8*(sqrt(2)-1)*12^2.

FAQ

What is Area of Octagon given Inradius?

The Area of Octagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the inradius of the Octagon and is represented as A = 8*(sqrt(2)-1)*r_i^2 or Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2. The Inradius of Octagon is the radius of incircle of the Regular Octagon or the circle that contained by the Octagon with all edges touch the circle.

How to calculate Area of Octagon given Inradius?

The Area of Octagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the inradius of the Octagon is calculated using Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2. To calculate Area of Octagon given Inradius, you need Inradius of Octagon (r_i). With our tool, you need to enter the respective value for Inradius of Octagon 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 of Octagon?

In this formula, Area of Octagon uses Inradius of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2

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