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Inradius of Pentagon given Area and Edge Length Formula

GoInradius of Pentagon Formula

GoInradius of Pentagon given Circumradius and Height Formula

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

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

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

Inradius of Pentagon given Area and Edge Length Example

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

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

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

6.8 = \frac{2 \cdot 170}{5 \cdot 10}

6.8m = \frac{2 \cdot 170m²}{5 \cdot 10m}

6.8 = \frac{2 \cdot 170}{5 \cdot 10}

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Inradius of Pentagon given Area and Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{2 \cdot 170m²}{5 \cdot 10m}

Next Step Prepare to Evaluate

∴

r i = \frac{2 \cdot 170}{5 \cdot 10}

LAST Step Evaluate

∴

r i = 6.8m

Inradius of Pentagon given Area and Edge Length Formula Elements

Variables

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

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

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

Other Formulas to find Inradius of Pentagon

Go Inradius of Pentagon

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

Go Inradius of Pentagon given Circumradius and Height

r i = h - r c

Go Inradius of Pentagon given Edge Length using Central Angle

r i = \frac{l e}{2 \cdot \tan (\frac{π}{5})}

Go Inradius of Pentagon given Edge Length using Interior Angle

r i = \frac{{(\frac{1}{2} - \cos (\frac{3}{5} \cdot π))}^{2} \cdot l e}{\sin (\frac{3}{5} \cdot π)}

Other formulas in Inradius of Pentagon category

Go Circumradius of Pentagon

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

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 Edge Length using Interior Angle

r c = \frac{l e \cdot (\frac{1}{2} - \cos (\frac{3}{5} \cdot π))}{\sin (\frac{3}{5} \cdot π)}

Go Circumradius of Pentagon given Height and Inradius

r c = h - r i

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

Inradius of Pentagon given Area and Edge Length evaluator uses Inradius of Pentagon = (2*Area of Pentagon)/(5*Edge Length of Pentagon) to evaluate the Inradius of Pentagon, Inradius of Pentagon given Area and Edge Length is defined as the length of the line joining the center and a point on the incircle of the Pentagon, calculated using area and edge length. Inradius of Pentagon is denoted by r_i symbol.

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

FAQs on Inradius of Pentagon given Area and Edge Length

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

The formula of Inradius of Pentagon given Area and Edge Length is expressed as Inradius of Pentagon = (2*Area of Pentagon)/(5*Edge Length of Pentagon). Here is an example- 6.8 = (2*170)/(5*10).

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

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

What are the other ways to Calculate Inradius of Pentagon?

Here are the different ways to Calculate Inradius of Pentagon-

Inradius of Pentagon=Edge Length of Pentagon/10*sqrt(25+(10*sqrt(5)))
Inradius of Pentagon=Height of Pentagon-Circumradius of Pentagon
Inradius of Pentagon=(Edge Length of Pentagon)/(2*tan(pi/5))

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

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

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

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

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Inradius of Pentagon given Area and Edge Length Formula

​GoInradius of Pentagon Formula

​GoInradius of Pentagon given Circumradius and Height Formula

Inradius of Pentagon given Area and Edge Length Example

Inradius of Pentagon given Area and Edge Length Solution

Inradius of Pentagon given Area and Edge Length Formula Elements

Other Formulas to find Inradius of Pentagon

Other formulas in Inradius of Pentagon category

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

FAQs on Inradius of Pentagon given Area and Edge Length

Variable Name

GoInradius of Pentagon Formula

GoInradius of Pentagon given Circumradius and Height Formula