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Inradius of Pentagon given Circumradius and Height Formula

GoInradius of Pentagon Formula

GoInradius of Pentagon given Area and Edge Length 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 = h - r c

r_i - Inradius of Pentagon?h - Height of Pentagon?r_c - Circumradius of Pentagon?

Inradius of Pentagon given Circumradius and Height Example

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Here is how the Inradius of Pentagon given Circumradius and Height equation looks like with Values.

Here is how the Inradius of Pentagon given Circumradius and Height equation looks like with Units.

Here is how the Inradius of Pentagon given Circumradius and Height equation looks like.

6 = 15 - 9

6m = 15m - 9m

6 = 15 - 9

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Inradius of Pentagon given Circumradius and Height Solution

Follow our step by step solution on how to calculate Inradius of Pentagon given Circumradius and Height?

FIRST Step Consider the formula

r i = h - r c

Next Step Substitute values of Variables

∴

r i = 15m - 9m

Next Step Prepare to Evaluate

∴

r i = 15 - 9

LAST Step Evaluate

∴

r i = 6m

Inradius of Pentagon given Circumradius and Height 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

Height of Pentagon

Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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 Area and Edge Length

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

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 Circumradius and Height?

Inradius of Pentagon given Circumradius and Height evaluator uses Inradius of Pentagon = Height of Pentagon-Circumradius of Pentagon to evaluate the Inradius of Pentagon, The Inradius of Pentagon given Circumradius and Height is defined as the length of the line joining the center and a point on the incircle of the Pentagon, calculated using circumradius and height. Inradius of Pentagon is denoted by r_i symbol.

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

FAQs on Inradius of Pentagon given Circumradius and Height

What is the formula to find Inradius of Pentagon given Circumradius and Height?

The formula of Inradius of Pentagon given Circumradius and Height is expressed as Inradius of Pentagon = Height of Pentagon-Circumradius of Pentagon. Here is an example- 6 = 15-9.

How to calculate Inradius of Pentagon given Circumradius and Height?

With Height of Pentagon (h) & Circumradius of Pentagon (r_c) we can find Inradius of Pentagon given Circumradius and Height using the formula - Inradius of Pentagon = Height of Pentagon-Circumradius 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=(2*Area of Pentagon)/(5*Edge Length of Pentagon)
Inradius of Pentagon=(Edge Length of Pentagon)/(2*tan(pi/5))

Can the Inradius of Pentagon given Circumradius and Height be negative?

No, the Inradius of Pentagon given Circumradius and Height, measured in Length cannot be negative.

Which unit is used to measure Inradius of Pentagon given Circumradius and Height?

Inradius of Pentagon given Circumradius and Height 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 Circumradius and Height can be measured.

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Inradius of Pentagon given Circumradius and Height Formula

​GoInradius of Pentagon Formula

​GoInradius of Pentagon given Area and Edge Length Formula

Inradius of Pentagon given Circumradius and Height Example

Inradius of Pentagon given Circumradius and Height Solution

Inradius of Pentagon given Circumradius and Height Formula Elements

Other Formulas to find Inradius of Pentagon

Other formulas in Inradius of Pentagon category

How to Evaluate Inradius of Pentagon given Circumradius and Height?

FAQs on Inradius of Pentagon given Circumradius and Height

Variable Name

GoInradius of Pentagon Formula

GoInradius of Pentagon given Area and Edge Length Formula