Height 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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✖Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Decagon given Circumradius [h]

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Height of Decagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5))
h = sqrt(5+(2*sqrt(5)))*(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

Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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

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

Evaluating ... ...

h = 30.4338085214449

STEP 3: Convert Result to Output's Unit

30.4338085214449 Meter --> No Conversion Required

FINAL ANSWER

30.4338085214449 ≈ 30.43381 Meter <-- Height of Decagon

(Calculation completed in 00.020 seconds)

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< Height of Decagon Calculators

Height of Decagon given Diagonal across Five Sides

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

Height of Decagon given Width

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

Height of Decagon

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

Height of Decagon given Inradius

LaTeX Go Height of Decagon = 2*Inradius of Decagon

Height of Decagon given Circumradius Formula

LaTeX Go

Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5))
h = sqrt(5+(2*sqrt(5)))*(2*r_c)/(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 Height of Decagon given Circumradius?

Height of Decagon given Circumradius calculator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5)) to calculate the Height of Decagon, The Height of Decagon given Circumradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using circumradius. Height of Decagon is denoted by h symbol.

How to calculate Height of Decagon given Circumradius using this online calculator? To use this online calculator for Height of Decagon given Circumradius, enter Circumradius of Decagon (r_c) and hit the calculate button. Here is how the Height of Decagon given Circumradius calculation can be explained with given input values -> 30.43381 = sqrt(5+(2*sqrt(5)))*(2*16)/(1+sqrt(5)).

FAQ

What is Height of Decagon given Circumradius?

The Height of Decagon given Circumradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using circumradius and is represented as h = sqrt(5+(2*sqrt(5)))*(2*r_c)/(1+sqrt(5)) or Height of Decagon = sqrt(5+(2*sqrt(5)))*(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 Height of Decagon given Circumradius?

The Height of Decagon given Circumradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using circumradius is calculated using Height of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5)). To calculate Height 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 Height of Decagon?

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

Height of Decagon = 2*Inradius of Decagon
Height of Decagon = (sqrt(5+(2*sqrt(5)))*Width of Decagon)/(1+sqrt(5))
Height of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

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