## Credits

St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1000+ more calculators!

## Area of Octagon given side and inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
A = (8/2)*S*ri
This formula uses 2 Variables
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
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
Side: 9 Meter --> 9 Meter No Conversion Required
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (8/2)*S*ri --> (8/2)*9*10
Evaluating ... ...
A = 360
STEP 3: Convert Result to Output's Unit
360 Square Meter --> No Conversion Required
360 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

## < 10+ Area of Octagon Calculators

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 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 of Octagon given side
area = 4.828*(Side^2) Go

A = (8/2)*S*ri

## What is an octagon?

Octagon is a polygon with eight sides and eight vertices. An octagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex octagon has none of its interior angles greater than 180°. To the contrary, a concave octagon (or polygon) has one or more of its interior angles greater than 180°

## How to Calculate Area of Octagon given side and inradius?

Area of Octagon given side and inradius calculator uses area = (8/2)*Side*Inradius to calculate the Area, The Area of Octagon given side and inradius formula is defined as A=(8/2)*a*Ri where a is side and Ri is inradius of octagon. Area and is denoted by A symbol.

How to calculate Area of Octagon given side and inradius using this online calculator? To use this online calculator for Area of Octagon given side and inradius, enter Side (S) & Inradius (ri) and hit the calculate button. Here is how the Area of Octagon given side and inradius calculation can be explained with given input values -> 360 = (8/2)*9*10.

### FAQ

What is Area of Octagon given side and inradius?
The Area of Octagon given side and inradius formula is defined as A=(8/2)*a*Ri where a is side and Ri is inradius of octagon and is represented as A = (8/2)*S*ri or area = (8/2)*Side*Inradius. The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back & Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Area of Octagon given side and inradius?
The Area of Octagon given side and inradius formula is defined as A=(8/2)*a*Ri where a is side and Ri is inradius of octagon is calculated using area = (8/2)*Side*Inradius. To calculate Area of Octagon given side and inradius, you need Side (S) & Inradius (ri). With our tool, you need to enter the respective value for Side & 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 Side & Inradius. We can use 10 other way(s) to calculate the same, which is/are as follows -
• 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)) 