Height of Decagon given Perimeter Calculator

✖Perimeter of Decagon is the total distance around the edge of the Decagon.ⓘ Perimeter of Decagon [P]

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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 Perimeter [h]

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Height of Decagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10
h = sqrt(5+(2*sqrt(5)))*P/10
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.
Perimeter of Decagon - (Measured in Meter) - Perimeter of Decagon is the total distance around the edge of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Decagon: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(5+(2*sqrt(5)))*P/10 --> sqrt(5+(2*sqrt(5)))*100/10

Evaluating ... ...

h = 30.7768353717525

STEP 3: Convert Result to Output's Unit

30.7768353717525 Meter --> No Conversion Required

FINAL ANSWER

30.7768353717525 ≈ 30.77684 Meter <-- Height of Decagon

(Calculation completed in 00.006 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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< 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 Perimeter Formula

LaTeX Go

Height of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10
h = sqrt(5+(2*sqrt(5)))*P/10

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 Perimeter?

Height of Decagon given Perimeter calculator uses Height of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10 to calculate the Height of Decagon, The Height of Decagon given Perimeter formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using the perimeter. Height of Decagon is denoted by h symbol.

How to calculate Height of Decagon given Perimeter using this online calculator? To use this online calculator for Height of Decagon given Perimeter, enter Perimeter of Decagon (P) and hit the calculate button. Here is how the Height of Decagon given Perimeter calculation can be explained with given input values -> 30.77684 = sqrt(5+(2*sqrt(5)))*100/10.

FAQ

What is Height of Decagon given Perimeter?

The Height of Decagon given Perimeter formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using the perimeter and is represented as h = sqrt(5+(2*sqrt(5)))*P/10 or Height of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10. Perimeter of Decagon is the total distance around the edge of the Decagon.

How to calculate Height of Decagon given Perimeter?

The Height of Decagon given Perimeter formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side of the Decagon, calculated using the perimeter is calculated using Height of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10. To calculate Height of Decagon given Perimeter, you need Perimeter of Decagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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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