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## Circumradius of Decagon given diagonal across three sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5))
r = (((2*d3)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across three sides - Diagonal across three sides is a straight line joining two opposite sides which is across three sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across three sides: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (((2*d3)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)) --> (((2*7)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5))
Evaluating ... ...
r = 4.32623792124926
STEP 3: Convert Result to Output's Unit
4.32623792124926 Meter --> No Conversion Required
(Calculation completed in 00.015 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 diagonal across three sides Formula

radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5))
r = (((2*d3)/(sqrt(14+6*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 diagonal across three sides?

Circumradius of Decagon given diagonal across three sides calculator uses radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)) to calculate the Radius, The Circumradius of decagon given diagonal across three sides formula is defined as straight line from the centre to the circumference of decagon, where radius=circumradius of decagon , diagonal = diagonal across three sides of decagon. Radius and is denoted by r symbol.

How to calculate Circumradius of Decagon given diagonal across three sides using this online calculator? To use this online calculator for Circumradius of Decagon given diagonal across three sides, enter Diagonal across three sides (d3) and hit the calculate button. Here is how the Circumradius of Decagon given diagonal across three sides calculation can be explained with given input values -> 432.6238 = (((2*7)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)).

### FAQ

What is Circumradius of Decagon given diagonal across three sides?
The Circumradius of decagon given diagonal across three sides formula is defined as straight line from the centre to the circumference of decagon, where radius=circumradius of decagon , diagonal = diagonal across three sides of decagon and is represented as r = (((2*d3)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)) or radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)). Diagonal across three sides is a straight line joining two opposite sides which is across three sides of the given polygon.
How to calculate Circumradius of Decagon given diagonal across three sides?
The Circumradius of decagon given diagonal across three sides formula is defined as straight line from the centre to the circumference of decagon, where radius=circumradius of decagon , diagonal = diagonal across three sides of decagon is calculated using radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)). To calculate Circumradius of Decagon given diagonal across three sides, you need Diagonal across three sides (d3). With our tool, you need to enter the respective value for Diagonal across three sides 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 Diagonal across three sides. We can use 10 other way(s) to calculate the same, which is/are as follows -