Area of Octagon given Edge Length and Inradius Calculator

✖The Edge Length of Octagon is the length of any edge of the Regular Octagon.ⓘ Edge Length of Octagon [l_e]			+10% -10%
✖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]			+10% -10%

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

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Formula

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Area of Octagon given Edge Length and Inradius

Formula

`"A" = 4*"l"_{"e"}*"r"_{"i"}`

Example

`"480m²"=4*"10m"*"12m"`

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Area of Octagon given Edge Length and Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon
A = 4*l_e*r_i
This formula uses 3 Variables

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.
Edge Length of Octagon - (Measured in Meter) - The Edge Length of Octagon is the length of any edge 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

Edge Length of Octagon: 10 Meter --> 10 Meter No Conversion Required
Inradius of Octagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 4*l_e*r_i --> 4*10*12

Evaluating ... ...

A = 480

STEP 3: Convert Result to Output's Unit

480 Square Meter --> No Conversion Required

FINAL ANSWER

480 Square Meter <-- Area of Octagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 11 Area of Octagon Calculators

Area of Octagon given Edge Length and Inradius

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

Area of Octagon given Medium Diagonal

Go Area of Octagon = 2*(sqrt(2)-1)*Medium Diagonal of Octagon^2

Area of Octagon given Perimeter

Go Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32

Area of Octagon given Long Diagonal

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

Area of Octagon given Edge Length

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

Area of Octagon given edge

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

Area of Octagon

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

Area of Octagon given Short Diagonal

Go Area of Octagon = sqrt(2)*Short Diagonal of Octagon^2

Area of Octagon given Circumradius

Go Area of Octagon = 2*sqrt(2)*Circumradius of Octagon^2

Area of Octagon given Inradius

Go Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2

Area of Octagon given Height

Go Area of Octagon = 2*(sqrt(2)-1)*Height of Octagon^2

< 5 Area of Octagon Calculators

Area of Octagon given Edge Length and Inradius

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

Area of Octagon given Perimeter

Go Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32

Area of Octagon

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

Area of Octagon given Circumradius

Go Area of Octagon = 2*sqrt(2)*Circumradius of Octagon^2

Area of Octagon given Height

Go Area of Octagon = 2*(sqrt(2)-1)*Height of Octagon^2

Area of Octagon given Edge Length and Inradius Formula

Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon
A = 4*l_e*r_i

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 Edge Length and Inradius?

Area of Octagon given Edge Length and Inradius calculator uses Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon to calculate the Area of Octagon, The Area of Octagon given Edge Length and Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the edge length and inradius of the Octagon. Area of Octagon is denoted by A symbol.

How to calculate Area of Octagon given Edge Length and Inradius using this online calculator? To use this online calculator for Area of Octagon given Edge Length and Inradius, enter Edge Length of Octagon (l_e) & Inradius of Octagon (r_i) and hit the calculate button. Here is how the Area of Octagon given Edge Length and Inradius calculation can be explained with given input values -> 480 = 4*10*12.

FAQ

What is Area of Octagon given Edge Length and Inradius?

The Area of Octagon given Edge Length and Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the edge length and inradius of the Octagon and is represented as A = 4*l_e*r_i or Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon. The Edge Length of Octagon is the length of any edge of the Regular Octagon & 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 Edge Length and Inradius?

The Area of Octagon given Edge Length and Inradius formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the edge length and inradius of the Octagon is calculated using Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon. To calculate Area of Octagon given Edge Length and Inradius, you need Edge Length of Octagon (l_e) & Inradius of Octagon (r_i). With our tool, you need to enter the respective value for Edge Length of Octagon & 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 Edge Length of Octagon & Inradius of Octagon. We can use 14 other way(s) to calculate the same, which is/are as follows -

Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2))
Area of Octagon = 2*(sqrt(2)-1)*Medium Diagonal of Octagon^2
Area of Octagon = sqrt(2)*Short Diagonal of Octagon^2
Area of Octagon = 2*(sqrt(2)-1)*Height of Octagon^2
Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32
Area of Octagon = 8*(sqrt(2)-1)*Inradius of Octagon^2
Area of Octagon = 2*sqrt(2)*Circumradius of Octagon^2
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon = 2*sqrt(2)*Circumradius of Octagon^2
Area of Octagon = 2*(sqrt(2)-1)*Height of Octagon^2
Area of Octagon = (1+sqrt(2))*(Perimeter of Octagon^2)/32

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