Side of Decagon given Circumradius Calculator

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

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Side of Decagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Circumradius of Decagon: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (2*r_c)/(1+sqrt(5)) --> (2*16)/(1+sqrt(5))

Evaluating ... ...

S = 9.88854381999832

STEP 3: Convert Result to Output's Unit

9.88854381999832 Meter --> No Conversion Required

FINAL ANSWER

9.88854381999832 ≈ 9.888544 Meter <-- Side of Decagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< Side of Decagon Calculators

Side of Decagon given Diagonal across Three Sides

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

Side of Decagon given Diagonal across Four Sides

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

Side of Decagon given Width

LaTeX Go Side of Decagon = Width of Decagon*sin(pi/10)

Side of Decagon given Diagonal across Five Sides

LaTeX Go Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))

< Side of Decagon Calculators

Side of Decagon given Area

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

Side of Decagon given Width

LaTeX Go Side of Decagon = Width of Decagon*sin(pi/10)

Side of Decagon given Circumradius

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

Side of Decagon given Circumradius Formula

LaTeX Go

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

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 Side of Decagon given Circumradius?

Side of Decagon given Circumradius calculator uses Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5)) to calculate the Side of Decagon, Side of Decagon given Circumradius formula is defined as a line connecting two adjacent vertices of the Decagon. Side of Decagon is denoted by S symbol.

How to calculate Side of Decagon given Circumradius using this online calculator? To use this online calculator for Side of Decagon given Circumradius, enter Circumradius of Decagon (r_c) and hit the calculate button. Here is how the Side of Decagon given Circumradius calculation can be explained with given input values -> 9.888544 = (2*16)/(1+sqrt(5)).

FAQ

What is Side of Decagon given Circumradius?

Side of Decagon given Circumradius formula is defined as a line connecting two adjacent vertices of the Decagon and is represented as S = (2*r_c)/(1+sqrt(5)) or Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5)). Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

How to calculate Side of Decagon given Circumradius?

Side of Decagon given Circumradius formula is defined as a line connecting two adjacent vertices of the Decagon is calculated using Side of Decagon = (2*Circumradius of Decagon)/(1+sqrt(5)). To calculate Side of Decagon given Circumradius, you need Circumradius of Decagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Side of Decagon?

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

Side of Decagon = Width of Decagon*sin(pi/10)
Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))
Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

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