## 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 Decagon given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
A = (5/2)*(((2*r)/(1+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
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (5/2)*(((2*r)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))) --> (5/2)*(((2*10)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5)))
Evaluating ... ...
A = 293.892626146237
STEP 3: Convert Result to Output's Unit
293.892626146237 Square Meter --> No Conversion Required
293.892626146237 Square Meter <-- Area
(Calculation completed in 00.016 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 circumradius Formula

A = (5/2)*(((2*r)/(1+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 circumradius?

Area of Decagon given circumradius calculator uses area = (5/2)*(((2*Radius)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))) to calculate the Area, The Area of decagon given circumradius formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, radius=circumradius of decagon. Area and is denoted by A symbol.

How to calculate Area of Decagon given circumradius using this online calculator? To use this online calculator for Area of Decagon given circumradius, enter Radius (r) and hit the calculate button. Here is how the Area of Decagon given circumradius calculation can be explained with given input values -> 293.8926 = (5/2)*(((2*10)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))).

### FAQ

What is Area of Decagon given circumradius?
The Area of decagon given circumradius formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, radius=circumradius of decagon and is represented as A = (5/2)*(((2*r)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))) or area = (5/2)*(((2*Radius)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))). Radius is a radial line from the focus to any point of a curve.
How to calculate Area of Decagon given circumradius?
The Area of decagon given circumradius formula is defined as measure of the total area that the surface of the object occupies of a decagon , where area = area of decagon, radius=circumradius of decagon is calculated using area = (5/2)*(((2*Radius)/(1+sqrt(5)))^2)*(sqrt(5+2*sqrt(5))). To calculate Area of Decagon given circumradius, you need Radius (r). With our tool, you need to enter the respective value for Radius 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 Radius. 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)))