Width of Decagon given Inradius Calculator

✖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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✖Width of Decagon is the measurement or extent of Decagon from side to side.ⓘ Width of Decagon given Inradius [w]

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Width of Decagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
w = (1+sqrt(5))*(2*r_i)/sqrt(5+(2*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

Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.
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.

STEP 1: Convert Input(s) to Base Unit

Inradius of Decagon: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (1+sqrt(5))*(2*r_i)/sqrt(5+(2*sqrt(5))) --> (1+sqrt(5))*(2*15)/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

w = 31.543866727148

STEP 3: Convert Result to Output's Unit

31.543866727148 Meter --> No Conversion Required

FINAL ANSWER

31.543866727148 ≈ 31.54387 Meter <-- Width of Decagon

(Calculation completed in 00.004 seconds)

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< Width of Decagon Calculators

Width of Decagon given Area

LaTeX Go Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Width of Decagon given Inradius

LaTeX Go Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))

Width of Decagon

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

Width of Decagon given Circumradius

LaTeX Go Width of Decagon = 2*Circumradius of Decagon

Width of Decagon given Inradius Formula

LaTeX Go

Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
w = (1+sqrt(5))*(2*r_i)/sqrt(5+(2*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 Width of Decagon given Inradius?

Width of Decagon given Inradius calculator uses Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))) to calculate the Width of Decagon, The Width of Decagon given Inradius formula is defined as the measurement or extent of the Decagon from side to side, calculated using inradius. Width of Decagon is denoted by w symbol.

How to calculate Width of Decagon given Inradius using this online calculator? To use this online calculator for Width of Decagon given Inradius, enter Inradius of Decagon (r_i) and hit the calculate button. Here is how the Width of Decagon given Inradius calculation can be explained with given input values -> 31.54387 = (1+sqrt(5))*(2*15)/sqrt(5+(2*sqrt(5))).

FAQ

What is Width of Decagon given Inradius?

The Width of Decagon given Inradius formula is defined as the measurement or extent of the Decagon from side to side, calculated using inradius and is represented as w = (1+sqrt(5))*(2*r_i)/sqrt(5+(2*sqrt(5))) or Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.

How to calculate Width of Decagon given Inradius?

The Width of Decagon given Inradius formula is defined as the measurement or extent of the Decagon from side to side, calculated using inradius is calculated using Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). To calculate Width of Decagon given Inradius, you need Inradius of Decagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Width of Decagon?

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

Width of Decagon = 2*Circumradius of Decagon
Width of Decagon = Side of Decagon/sin(pi/10)
Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

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