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## Area of Decagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
A = (5/2)*(((2*ri)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
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 = (5/2)*(((2*ri)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) --> (5/2)*(((2*10)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
Evaluating ... ...
A = 324.919696232906
STEP 3: Convert Result to Output's Unit
324.919696232906 Square Meter --> No Conversion Required
324.919696232906 Square Meter <-- Area
(Calculation completed in 00.015 seconds)

## < 10+ Area of Decagon Calculators

Area of Decagon given diagonal across three sides
area = (5/2)*(((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across two sides
area = (5/2)*(((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across four sides
area = (5/2)*((Diagonal across four sides/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given height
area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given diagonal across five sides
area = (5/2)*((Diagonal across five sides/((1+sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given perimeter
area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon
area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5))) Go
Area of Decagon given side length and central angle
area = (5*(Side)^2)/(2*tan(Angle A/2)) Go
Area of Decagon given inradius and side length

### Area of Decagon given inradius Formula

A = (5/2)*(((2*ri)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))

## What is a decagon?

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

## How to Calculate Area of Decagon given inradius?

Area of Decagon given inradius calculator uses area = (5/2)*(((2*Inradius)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) to calculate the Area, The Area of decagon given inradius formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, inradius = inradius of decagon. Area and is denoted by A symbol.

How to calculate Area of Decagon given inradius using this online calculator? To use this online calculator for Area of Decagon given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Area of Decagon given inradius calculation can be explained with given input values -> 324.9197 = (5/2)*(((2*10)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))).

### FAQ

What is Area of Decagon given inradius?
The Area of decagon given inradius formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, inradius = inradius of decagon and is represented as A = (5/2)*(((2*ri)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))) or area = (5/2)*(((2*Inradius)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Area of Decagon given inradius?
The Area of decagon given inradius formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, inradius = inradius of decagon is calculated using area = (5/2)*(((2*Inradius)/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5))). To calculate Area of Decagon 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 = (5*(Side)^2)/(2*tan(Angle A/2))
• area = (5/2)*(Side^2)*(sqrt(5+2*sqrt(5)))
• area = (5/2)*((Diagonal across five sides/((1+sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
• area = (5/2)*((Diagonal across four sides/(sqrt(5+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
• area = (5/2)*(((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
• area = (5/2)*(((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))^2)*(sqrt(5+2*sqrt(5)))
• area = (5/2)*((Perimeter/10)^2)*(sqrt(5+2*sqrt(5)))
• area = (5/2)*((Height/((sqrt(5+2*sqrt(5)))))^2)*(sqrt(5+2*sqrt(5)))