Circumradius of Decagon Calculator

✖Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.ⓘ Side of Decagon [S]

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✖Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.ⓘ Circumradius of Decagon [r_c]

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Circumradius of Decagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon
r_c = (1+sqrt(5))/2*S
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumradius of Decagon - (Measured in Meter) - Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.
Side of Decagon - (Measured in Meter) - Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Side of Decagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (1+sqrt(5))/2*S --> (1+sqrt(5))/2*10

Evaluating ... ...

r_c = 16.1803398874989

STEP 3: Convert Result to Output's Unit

16.1803398874989 Meter --> No Conversion Required

FINAL ANSWER

16.1803398874989 ≈ 16.18034 Meter <-- Circumradius of Decagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< Circumradius of Decagon Calculators

Circumradius of Decagon given Diagonal across Three Sides

LaTeX Go Circumradius of Decagon = (1+sqrt(5))/2*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

Circumradius of Decagon given Diagonal across Four Sides

LaTeX Go Circumradius of Decagon = (1+sqrt(5))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Circumradius of Decagon given Diagonal across Five Sides

LaTeX Go Circumradius of Decagon = Diagonal across Five Sides of Decagon/2

Circumradius of Decagon given Width

LaTeX Go Circumradius of Decagon = Width of Decagon/2

< Radius of Decagon Calculators

Inradius of Decagon

LaTeX Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon

Circumradius of Decagon

LaTeX Go Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon

Circumradius of Decagon given Width

LaTeX Go Circumradius of Decagon = Width of Decagon/2

Inradius of Decagon given Height

LaTeX Go Inradius of Decagon = Height of Decagon/2

Circumradius of Decagon Formula

LaTeX Go

Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon
r_c = (1+sqrt(5))/2*S

What is 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?

Circumradius of Decagon calculator uses Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon to calculate the Circumradius of Decagon, Circumradius of Decagon formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle. Circumradius of Decagon is denoted by r_c symbol.

How to calculate Circumradius of Decagon using this online calculator? To use this online calculator for Circumradius of Decagon, enter Side of Decagon (S) and hit the calculate button. Here is how the Circumradius of Decagon calculation can be explained with given input values -> 16.18034 = (1+sqrt(5))/2*10.

FAQ

What is Circumradius of Decagon?

Circumradius of Decagon formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle and is represented as r_c = (1+sqrt(5))/2*S or Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon. Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

How to calculate Circumradius of Decagon?

Circumradius of Decagon formula is defined as a line connecting the circumcenter of the circle that touches all vertices of the Decagon and any point on the circle is calculated using Circumradius of Decagon = (1+sqrt(5))/2*Side of Decagon. To calculate Circumradius of Decagon, you need Side of Decagon (S). With our tool, you need to enter the respective value for Side of Decagon 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 Circumradius of Decagon?

In this formula, Circumradius of Decagon uses Side of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Decagon = Width of Decagon/2
Circumradius of Decagon = Diagonal across Five Sides of Decagon/2
Circumradius of Decagon = (1+sqrt(5))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

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