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## Circumradius of Decagon given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
r = ((sqrt((2*A)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((sqrt((2*A)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) --> ((sqrt((2*50)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
Evaluating ... ...
r = 4.12468376570141
STEP 3: Convert Result to Output's Unit
4.12468376570141 Meter --> No Conversion Required
(Calculation completed in 00.000 seconds)

## < 10+ Circumradius of Decagon Calculators

Circumradius of Decagon given diagonal across three sides
radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across two sides
radius = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across four sides
radius = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across five sides
radius = ((Diagonal across five sides/((1+sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given height and central angle
Circumradius of Decagon given angle and side

### Circumradius of Decagon given area Formula

r = ((sqrt((2*A)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+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 Circumradius of Decagon given area?

Circumradius of Decagon given area calculator uses radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) to calculate the Radius, The Circumradius of decagon given area formula is defined as straight line from the centre to the circumference of decagon, where radius= radius of decagon , area = area of decagon. Radius and is denoted by r symbol.

How to calculate Circumradius of Decagon given area using this online calculator? To use this online calculator for Circumradius of Decagon given area, enter Area (A) and hit the calculate button. Here is how the Circumradius of Decagon given area calculation can be explained with given input values -> 412.4684 = ((sqrt((2*50)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)).

### FAQ

What is Circumradius of Decagon given area?
The Circumradius of decagon given area formula is defined as straight line from the centre to the circumference of decagon, where radius= radius of decagon , area = area of decagon and is represented as r = ((sqrt((2*A)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) or radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)). The area is the amount of two-dimensional space taken up by an object.
How to calculate Circumradius of Decagon given area?
The Circumradius of decagon given area formula is defined as straight line from the centre to the circumference of decagon, where radius= radius of decagon , area = area of decagon is calculated using radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)). To calculate Circumradius of Decagon given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Radius?
In this formula, Radius uses Area. We can use 10 other way(s) to calculate the same, which is/are as follows - 