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Edge Length of Pentagon given Area and Inradius 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 = \frac{2 \cdot A}{5 \cdot r i}

l_e - Edge Length of Pentagon?A - Area of Pentagon?r_i - Inradius of Pentagon?

Edge Length of Pentagon given Area and Inradius Example

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Here is how the Edge Length of Pentagon given Area and Inradius equation looks like with Values.

Here is how the Edge Length of Pentagon given Area and Inradius equation looks like with Units.

Here is how the Edge Length of Pentagon given Area and Inradius equation looks like.

9.7143 = \frac{2 \cdot 170}{5 \cdot 7}

9.7143m = \frac{2 \cdot 170m²}{5 \cdot 7m}

9.7143 = \frac{2 \cdot 170}{5 \cdot 7}

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Edge Length of Pentagon given Area and Inradius Solution

Follow our step by step solution on how to calculate Edge Length of Pentagon given Area and Inradius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 170m²}{5 \cdot 7m}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 170}{5 \cdot 7}

Next Step Evaluate

∴

l e = 9.71428571428571m

LAST Step Rounding Answer

∴

l e = 9.7143m

Edge Length of Pentagon given Area and Inradius Formula Elements

Variables

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

Area of Pentagon

The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon

Inradius of Pentagon

The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Pentagon

Other formulas in Edge Length of Pentagon category

Go Diagonal of Pentagon

d = (1 + \sqrt{5}) \cdot \frac{l e}{2}

Go Perimeter of Pentagon

P = 5 \cdot l e

Go Width of Pentagon

w = \frac{1 + \sqrt{5}}{2} \cdot l e

How to Evaluate Edge Length of Pentagon given Area and Inradius?

Edge Length of Pentagon given Area and Inradius evaluator uses Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon) to evaluate the Edge Length of Pentagon, Edge Length of Pentagon given Area and Inradius is defined as the length of the line connecting two adjacent vertices of the Pentagon, calculated using area and inradius. Edge Length of Pentagon is denoted by l_e symbol.

How to evaluate Edge Length of Pentagon given Area and Inradius using this online evaluator? To use this online evaluator for Edge Length of Pentagon given Area and Inradius, enter Area of Pentagon (A) & Inradius of Pentagon (r_i) and hit the calculate button.

FAQs on Edge Length of Pentagon given Area and Inradius

What is the formula to find Edge Length of Pentagon given Area and Inradius?

The formula of Edge Length of Pentagon given Area and Inradius is expressed as Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon). Here is an example- 9.714286 = (2*170)/(5*7).

How to calculate Edge Length of Pentagon given Area and Inradius?

With Area of Pentagon (A) & Inradius of Pentagon (r_i) we can find Edge Length of Pentagon given Area and Inradius using the formula - Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon).

Can the Edge Length of Pentagon given Area and Inradius be negative?

No, the Edge Length of Pentagon given Area and Inradius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Pentagon given Area and Inradius?

Edge Length of Pentagon given Area and Inradius 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 Area and Inradius can be measured.

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Edge Length of Pentagon given Area and Inradius Formula

Edge Length of Pentagon given Area and Inradius Example

Edge Length of Pentagon given Area and Inradius Solution

Edge Length of Pentagon given Area and Inradius Formula Elements

Other formulas in Edge Length of Pentagon category

How to Evaluate Edge Length of Pentagon given Area and Inradius?

FAQs on Edge Length of Pentagon given Area and Inradius

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