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Edge Length of Pentagon given Circumradius Formula

GoEdge Length of Pentagon given Area and Inradius Formula

GoEdge Length of Pentagon given Height using Central Angle Formula

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The Edge Length of Pentagon is the length of one of the five sides of the Pentagon. Check FAQs

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

l_e - Edge Length of Pentagon?r_c - Circumradius of Pentagon?

Edge Length of Pentagon given Circumradius Example

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

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

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

10.5801 = 9 \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}}

10.5801m = 9m \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}}

10.5801 = 9 \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}}

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Edge Length of Pentagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l e = 10.5801345412645m

LAST Step Rounding Answer

∴

l e = 10.5801m

Edge Length of Pentagon given Circumradius Formula Elements

Variables

Functions

Edge Length of Pentagon

The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 Edge Length of Pentagon

Go Edge Length of Pentagon given Area and Inradius

l e = \frac{2 \cdot A}{5 \cdot r i}

Go Edge Length of Pentagon given Height using Central Angle

l e = \frac{2 \cdot h \cdot \sin (\frac{π}{5})}{1 + \cos (\frac{π}{5})}

Go Edge Length of Pentagon given Inradius

l e = r i \cdot \frac{10}{\sqrt{25 + (10 \cdot \sqrt{5})}}

Go Edge Length of Pentagon given Area

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

How to Evaluate Edge Length of Pentagon given Circumradius?

Edge Length of Pentagon given Circumradius evaluator uses Edge Length of Pentagon = Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))) to evaluate the Edge Length of Pentagon, Edge Length of Pentagon given Circumradius is defined as the length of the line connecting the two adjacent vertices of the Pentagon, calculated using circumradius. Edge Length of Pentagon is denoted by l_e symbol.

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

FAQs on Edge Length of Pentagon given Circumradius

What is the formula to find Edge Length of Pentagon given Circumradius?

The formula of Edge Length of Pentagon given Circumradius is expressed as Edge Length of Pentagon = Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))). Here is an example- 10.58013 = 9*10/sqrt(50+(10*sqrt(5))).

How to calculate Edge Length of Pentagon given Circumradius?

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

What are the other ways to Calculate Edge Length of Pentagon?

Here are the different ways to Calculate Edge Length of Pentagon-

Edge Length of Pentagon=(2*Area of Pentagon)/(5*Inradius of Pentagon)
Edge Length of Pentagon=(2*Height of Pentagon*sin(pi/5))/(1+cos(pi/5))
Edge Length of Pentagon=Inradius of Pentagon*10/sqrt(25+(10*sqrt(5)))

Can the Edge Length of Pentagon given Circumradius be negative?

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

Which unit is used to measure Edge Length of Pentagon given Circumradius?

Edge Length 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 Edge Length of Pentagon given Circumradius can be measured.

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