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Circumradius of Pentagon given Height and Inradius Formula

GoCircumradius of Pentagon Formula

GoCircumradius of Pentagon given Edge Length using Central Angle 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 = h - r i

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

Circumradius of Pentagon given Height and Inradius Example

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

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

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

8 = 15 - 7

8m = 15m - 7m

8 = 15 - 7

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Circumradius of Pentagon given Height and Inradius Solution

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

FIRST Step Consider the formula

r c = h - r i

Next Step Substitute values of Variables

∴

r c = 15m - 7m

Next Step Prepare to Evaluate

∴

r c = 15 - 7

LAST Step Evaluate

∴

r c = 8m

Circumradius of Pentagon given Height and Inradius Formula Elements

Variables

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

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

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 to find Circumradius of Pentagon

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)}

Other formulas in Circumradius of Pentagon category

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 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})}

How to Evaluate Circumradius of Pentagon given Height and Inradius?

Circumradius of Pentagon given Height and Inradius evaluator uses Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon to evaluate the Circumradius of Pentagon, Circumradius of Pentagon given Height and Inradius is defined as the line joining the center and a point on the circumcircle of the Pentagon, calculated using height and inradius. Circumradius of Pentagon is denoted by r_c symbol.

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

FAQs on Circumradius of Pentagon given Height and Inradius

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

The formula of Circumradius of Pentagon given Height and Inradius is expressed as Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon. Here is an example- 8 = 15-7.

How to calculate Circumradius of Pentagon given Height and Inradius?

With Height of Pentagon (h) & Inradius of Pentagon (r_i) we can find Circumradius of Pentagon given Height and Inradius using the formula - Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon.

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/10*sqrt(50+(10*sqrt(5)))
Circumradius of Pentagon=(Edge Length of Pentagon)/(2*sin(pi/5))
Circumradius of Pentagon=(Edge Length of Pentagon*(1/2-cos(3/5*pi)))/(sin(3/5*pi))

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

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

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

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

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Circumradius of Pentagon given Height and Inradius Formula

​GoCircumradius of Pentagon Formula

​GoCircumradius of Pentagon given Edge Length using Central Angle Formula

Circumradius of Pentagon given Height and Inradius Example

Circumradius of Pentagon given Height and Inradius Solution

Circumradius of Pentagon given Height and Inradius Formula Elements

Other Formulas to find Circumradius of Pentagon

Other formulas in Circumradius of Pentagon category

How to Evaluate Circumradius of Pentagon given Height and Inradius?

FAQs on Circumradius of Pentagon given Height and Inradius

Variable Name

GoCircumradius of Pentagon Formula

GoCircumradius of Pentagon given Edge Length using Central Angle Formula