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Height of Pentagon given Circumradius and Inradius Formula

GoHeight of Pentagon Formula

GoHeight of Pentagon given Edge Length using Central Angle Formula

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

h = r c + r i

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

Height of Pentagon given Circumradius and Inradius Example

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

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

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

16 = 9 + 7

16m = 9m + 7m

16 = 9 + 7

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Height of Pentagon given Circumradius and Inradius Solution

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

FIRST Step Consider the formula

h = r c + r i

Next Step Substitute values of Variables

∴

h = 9m + 7m

Next Step Prepare to Evaluate

∴

h = 9 + 7

LAST Step Evaluate

∴

h = 16m

Height of Pentagon given Circumradius and Inradius Formula Elements

Variables

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

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 Height of Pentagon

Go Height of Pentagon

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

Go Height of Pentagon given Edge Length using Central Angle

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

Go Height of Pentagon given Edge Length using Interior Angle

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

How to Evaluate Height of Pentagon given Circumradius and Inradius?

Height of Pentagon given Circumradius and Inradius evaluator uses Height of Pentagon = Circumradius of Pentagon+Inradius of Pentagon to evaluate the Height of Pentagon, Height of Pentagon given Circumradius and Inradius is defined as the perpendicular distance from one of the vertices to the opposite edge of the Pentagon, calculated using its circumradius and inradius. Height of Pentagon is denoted by h symbol.

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

FAQs on Height of Pentagon given Circumradius and Inradius

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

The formula of Height of Pentagon given Circumradius and Inradius is expressed as Height of Pentagon = Circumradius of Pentagon+Inradius of Pentagon. Here is an example- 16 = 9+7.

How to calculate Height of Pentagon given Circumradius and Inradius?

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

What are the other ways to Calculate Height of Pentagon?

Here are the different ways to Calculate Height of Pentagon-

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

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

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

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

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

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Height of Pentagon given Circumradius and Inradius Formula

​GoHeight of Pentagon Formula

​GoHeight of Pentagon given Edge Length using Central Angle Formula

Height of Pentagon given Circumradius and Inradius Example

Height of Pentagon given Circumradius and Inradius Solution

Height of Pentagon given Circumradius and Inradius Formula Elements

Other Formulas to find Height of Pentagon

How to Evaluate Height of Pentagon given Circumradius and Inradius?

FAQs on Height of Pentagon given Circumradius and Inradius

Variable Name

GoHeight of Pentagon Formula

GoHeight of Pentagon given Edge Length using Central Angle Formula