Inradius 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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✖Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.ⓘ Inradius of Decagon [r_i]

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Inradius of Decagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Inradius of Decagon - (Measured in Meter) - Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.
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_i = sqrt(5+(2*sqrt(5)))/2*S --> sqrt(5+(2*sqrt(5)))/2*10

Evaluating ... ...

r_i = 15.3884176858763

STEP 3: Convert Result to Output's Unit

15.3884176858763 Meter --> No Conversion Required

FINAL ANSWER

15.3884176858763 ≈ 15.38842 Meter <-- Inradius of Decagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Inradius of Decagon Calculators

Inradius of Decagon given Diagonal across Three Sides

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

Inradius of Decagon given Diagonal across Five Sides

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

Inradius of Decagon

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

Inradius of Decagon given Diagonal across Four Sides

LaTeX Go Inradius of Decagon = Diagonal across Four Sides 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

Inradius of Decagon Formula

LaTeX Go

Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon
r_i = sqrt(5+(2*sqrt(5)))/2*S

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 Inradius of Decagon?

Inradius of Decagon calculator uses Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon to calculate the Inradius of Decagon, The Inradius of Decagon formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon. Inradius of Decagon is denoted by r_i symbol.

How to calculate Inradius of Decagon using this online calculator? To use this online calculator for Inradius of Decagon, enter Side of Decagon (S) and hit the calculate button. Here is how the Inradius of Decagon calculation can be explained with given input values -> 15.38842 = sqrt(5+(2*sqrt(5)))/2*10.

FAQ

What is Inradius of Decagon?

The Inradius of Decagon formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon and is represented as r_i = sqrt(5+(2*sqrt(5)))/2*S or Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon. Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

How to calculate Inradius of Decagon?

The Inradius of Decagon formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon is calculated using Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon. To calculate Inradius 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 Inradius of Decagon?

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

Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Inradius of Decagon = Diagonal across Four Sides of Decagon/2
Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

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