Area of Octagon given side and inradius Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D Geometry	Octagon ↺
Octagon	Area of Octagon ↺

✖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.ⓘ Side [S]			+10% -10%
✖Inradius is defined as the radius of the circle which is inscribed inside the polygon.ⓘ Inradius [r_i]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area of Octagon given side and inradius [A]

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Credits

Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 1000+ more calculators!

Shweta Patil

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

area = (8/2)*Side*Inradius
A = (8/2)*S*r_i
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*r_i --> (8/2)*9*10

Evaluating ... ...

A = 360

STEP 3: Convert Result to Output's Unit

360 Square Meter --> No Conversion Required

FINAL ANSWER

360 Square Meter <-- Area

(Calculation completed in 00.016 seconds)

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< 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 side and inradius Formula

area = (8/2)*Side*Inradius
A = (8/2)*S*r_i

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 (r_i) 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*r_i 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 (r_i). 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 = (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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