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Circumradius of Pentagon given Perimeter Formula

GoCircumradius of Pentagon given Edge Length using Central Angle Formula

GoCircumradius of Pentagon given Inradius Formula

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

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

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

Circumradius of Pentagon given Perimeter Example

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

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

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

8.5065 = \frac{50}{50} \cdot \sqrt{50 + (10 \cdot \sqrt{5})}

8.5065m = \frac{50m}{50} \cdot \sqrt{50 + (10 \cdot \sqrt{5})}

8.5065 = \frac{50}{50} \cdot \sqrt{50 + (10 \cdot \sqrt{5})}

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Circumradius of Pentagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 8.5065080835204m

LAST Step Rounding Answer

∴

r c = 8.5065m

Circumradius of Pentagon given Perimeter Formula Elements

Variables

Functions

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

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

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 Circumradius of Pentagon

Go Circumradius of Pentagon given Edge Length using Central Angle

r c = \frac{l e}{2 \cdot \sin (\frac{π}{5})}

Go Circumradius of Pentagon given Inradius

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

Go Circumradius of Pentagon

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

Go Circumradius of Pentagon given Inradius using Central Angle

r c = \frac{r i}{\cos (\frac{π}{5})}

How to Evaluate Circumradius of Pentagon given Perimeter?

Circumradius of Pentagon given Perimeter evaluator uses Circumradius of Pentagon = Perimeter of Pentagon/50*sqrt(50+(10*sqrt(5))) to evaluate the Circumradius of Pentagon, The Circumradius of Pentagon given Perimeter formula is defined as the line connecting the center and a point on circumcircle of Pentagon, calculated using perimeter. Circumradius of Pentagon is denoted by r_c symbol.

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

FAQs on Circumradius of Pentagon given Perimeter

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

The formula of Circumradius of Pentagon given Perimeter is expressed as Circumradius of Pentagon = Perimeter of Pentagon/50*sqrt(50+(10*sqrt(5))). Here is an example- 8.506508 = 50/50*sqrt(50+(10*sqrt(5))).

How to calculate Circumradius of Pentagon given Perimeter?

With Perimeter of Pentagon (P) we can find Circumradius of Pentagon given Perimeter using the formula - Circumradius of Pentagon = Perimeter of Pentagon/50*sqrt(50+(10*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Pentagon?

Here are the different ways to Calculate Circumradius of Pentagon-

Circumradius of Pentagon=(Edge Length of Pentagon)/(2*sin(pi/5))
Circumradius of Pentagon=(Inradius of Pentagon)/(sqrt(25+(10*sqrt(5)))/sqrt(50+(10*sqrt(5))))
Circumradius of Pentagon=Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))

Can the Circumradius of Pentagon given Perimeter be negative?

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

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

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

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