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Perimeter of Pentagon given Diagonal Formula

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The Perimeter of Pentagon is the total distance around the edge of the Pentagon. Check FAQs

P = 10 \cdot \frac{d}{1 + \sqrt{5}}

P - Perimeter of Pentagon?d - Diagonal of Pentagon?

Perimeter of Pentagon given Diagonal Example

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Here is how the Perimeter of Pentagon given Diagonal equation looks like with Values.

Here is how the Perimeter of Pentagon given Diagonal equation looks like with Units.

Here is how the Perimeter of Pentagon given Diagonal equation looks like.

49.4427 = 10 \cdot \frac{16}{1 + \sqrt{5}}

49.4427m = 10 \cdot \frac{16m}{1 + \sqrt{5}}

49.4427 = 10 \cdot \frac{16}{1 + \sqrt{5}}

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Perimeter of Pentagon given Diagonal Solution

Follow our step by step solution on how to calculate Perimeter of Pentagon given Diagonal?

FIRST Step Consider the formula

P = 10 \cdot \frac{d}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

P = 10 \cdot \frac{16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

P = 10 \cdot \frac{16}{1 + \sqrt{5}}

Next Step Evaluate

∴

P = 49.4427190999916m

LAST Step Rounding Answer

∴

P = 49.4427m

Perimeter of Pentagon given Diagonal Formula Elements

Variables

Functions

Perimeter of Pentagon

The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Pentagon

Diagonal of Pentagon

Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Pentagon

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.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Pentagon

Go Perimeter of Pentagon

P = 5 \cdot l e

Go Perimeter of Pentagon given Area

P = 5 \cdot \sqrt{4 \cdot \frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Perimeter of Pentagon given Circumradius

P = 50 \cdot \frac{r c}{\sqrt{50 + (10 \cdot \sqrt{5})}}

Go Perimeter of Pentagon given Inradius

P = 50 \cdot \frac{r i}{\sqrt{25 + (10 \cdot \sqrt{5})}}

How to Evaluate Perimeter of Pentagon given Diagonal?

Perimeter of Pentagon given Diagonal evaluator uses Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5)) to evaluate the Perimeter of Pentagon, The Perimeter of Pentagon given Diagonal formula is defined as the summation of all the sides of the Pentagon, where all the sides of the Pentagon are of equal length, calculated using a diagonal. Perimeter of Pentagon is denoted by P symbol.

How to evaluate Perimeter of Pentagon given Diagonal using this online evaluator? To use this online evaluator for Perimeter of Pentagon given Diagonal, enter Diagonal of Pentagon (d) and hit the calculate button.

FAQs on Perimeter of Pentagon given Diagonal

What is the formula to find Perimeter of Pentagon given Diagonal?

The formula of Perimeter of Pentagon given Diagonal is expressed as Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5)). Here is an example- 49.44272 = 10*16/(1+sqrt(5)).

How to calculate Perimeter of Pentagon given Diagonal?

With Diagonal of Pentagon (d) we can find Perimeter of Pentagon given Diagonal using the formula - Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Pentagon?

Here are the different ways to Calculate Perimeter of Pentagon-

Perimeter of Pentagon=5*Edge Length of Pentagon
Perimeter of Pentagon=5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))
Perimeter of Pentagon=50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))

Can the Perimeter of Pentagon given Diagonal be negative?

No, the Perimeter of Pentagon given Diagonal, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Pentagon given Diagonal?

Perimeter of Pentagon given Diagonal is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Pentagon given Diagonal can be measured.

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