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Height of Pentagon given Inradius Formula

GoHeight of Pentagon given Circumradius and Inradius Formula

GoHeight of Pentagon given Circumradius 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 = \sqrt{5} \cdot r i

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

Height of Pentagon given Inradius Example

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

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

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

15.6525 = \sqrt{5} \cdot 7

15.6525m = \sqrt{5} \cdot 7m

15.6525 = \sqrt{5} \cdot 7

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Height of Pentagon given Inradius Solution

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

FIRST Step Consider the formula

h = \sqrt{5} \cdot r i

Next Step Substitute values of Variables

∴

h = \sqrt{5} \cdot 7m

Next Step Prepare to Evaluate

∴

h = \sqrt{5} \cdot 7

Next Step Evaluate

∴

h = 15.6524758424985m

LAST Step Rounding Answer

∴

h = 15.6525m

Height of Pentagon given Inradius Formula Elements

Variables

Functions

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Height of Pentagon

Go Height of Pentagon given Circumradius and Inradius

h = r c + r i

Go Height of Pentagon given Circumradius using Central Angle

h = r c \cdot (1 + \cos (\frac{π}{5}))

Go Height of Pentagon given Inradius using Central angle

h = r i \cdot (1 + (\frac{1}{\cos (\frac{π}{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})}

How to Evaluate Height of Pentagon given Inradius?

Height of Pentagon given Inradius evaluator uses Height of Pentagon = sqrt(5)*Inradius of Pentagon to evaluate the Height of Pentagon, Height of Pentagon given Inradius is defined as the perpendicular distance from one of the vertices to the opposite edge of the Pentagon, calculated using its inradius. Height of Pentagon is denoted by h symbol.

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

FAQs on Height of Pentagon given Inradius

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

The formula of Height of Pentagon given Inradius is expressed as Height of Pentagon = sqrt(5)*Inradius of Pentagon. Here is an example- 15.65248 = sqrt(5)*7.

How to calculate Height of Pentagon given Inradius?

With Inradius of Pentagon (r_i) we can find Height of Pentagon given Inradius using the formula - Height of Pentagon = sqrt(5)*Inradius of Pentagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Pentagon?

Here are the different ways to Calculate Height of Pentagon-

Height of Pentagon=Circumradius of Pentagon+Inradius of Pentagon
Height of Pentagon=Circumradius of Pentagon*(1+cos(pi/5))
Height of Pentagon=Inradius of Pentagon*(1+(1/cos(pi/5)))

Can the Height of Pentagon given Inradius be negative?

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

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

Height of Pentagon given 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 Inradius can be measured.

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