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Perimeter of Pentagon given Circumradius Formula

GoPerimeter of Pentagon Formula

GoPerimeter of Pentagon given Area Formula

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

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

P - Perimeter of Pentagon?r_c - Circumradius of Pentagon?

Perimeter of Pentagon given Circumradius Example

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

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

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

52.9007 = 50 \cdot \frac{9}{\sqrt{50 + (10 \cdot \sqrt{5})}}

52.9007m = 50 \cdot \frac{9m}{\sqrt{50 + (10 \cdot \sqrt{5})}}

52.9007 = 50 \cdot \frac{9}{\sqrt{50 + (10 \cdot \sqrt{5})}}

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Perimeter of Pentagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 50 \cdot \frac{9m}{\sqrt{50 + (10 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

P = 50 \cdot \frac{9}{\sqrt{50 + (10 \cdot \sqrt{5})}}

Next Step Evaluate

∴

P = 52.9006727063226m

LAST Step Rounding Answer

∴

P = 52.9007m

Perimeter of Pentagon given Circumradius 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

Circumradius of Pentagon

The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Inradius

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

Go Perimeter of Pentagon given Height

P = 10 \cdot h \cdot \tan (0.314)

How to Evaluate Perimeter of Pentagon given Circumradius?

Perimeter of Pentagon given Circumradius evaluator uses Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5))) to evaluate the Perimeter of Pentagon, The Perimeter of Pentagon given Circumradius formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using circumradius. Perimeter of Pentagon is denoted by P symbol.

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

FAQs on Perimeter of Pentagon given Circumradius

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

The formula of Perimeter of Pentagon given Circumradius is expressed as Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5))). Here is an example- 52.90067 = 50*9/sqrt(50+(10*sqrt(5))).

How to calculate Perimeter of Pentagon given Circumradius?

With Circumradius of Pentagon (r_c) we can find Perimeter of Pentagon given Circumradius using the formula - Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*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*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))

Can the Perimeter of Pentagon given Circumradius be negative?

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

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

Perimeter of Pentagon given Circumradius 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 Circumradius can be measured.

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