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Perimeter of Cylinder given Diagonal and Height Formula

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GoPerimeter of Cylinder given Lateral Surface Area and Radius Formula

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Perimeter of Cylinder is the total distance around the boundary of the Cylinder. Check FAQs

P = 2 \cdot (π \cdot \sqrt{d^{2} - h^{2}} + h)

P - Perimeter of Cylinder?d - Diagonal of Cylinder?h - Height of Cylinder?π - Archimedes' constant?

Perimeter of Cylinder given Diagonal and Height Example

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Here is how the Perimeter of Cylinder given Diagonal and Height equation looks like with Values.

Here is how the Perimeter of Cylinder given Diagonal and Height equation looks like with Units.

Here is how the Perimeter of Cylinder given Diagonal and Height equation looks like.

90.495 = 2 \cdot (3.1416 \cdot \sqrt{16^{2} - 12^{2}} + 12)

90.495m = 2 \cdot (3.1416 \cdot \sqrt{{16m²}^{2} - {12m}^{2}} + 12m)

90.495 = 2 \cdot (3.1416 \cdot \sqrt{16^{2} - 12^{2}} + 12)

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Perimeter of Cylinder given Diagonal and Height Solution

Follow our step by step solution on how to calculate Perimeter of Cylinder given Diagonal and Height?

FIRST Step Consider the formula

P = 2 \cdot (π \cdot \sqrt{d^{2} - h^{2}} + h)

Next Step Substitute values of Variables

∴

P = 2 \cdot (π \cdot \sqrt{{16m²}^{2} - {12m}^{2}} + 12m)

Next Step Substitute values of Constants

∴

P = 2 \cdot (3.1416 \cdot \sqrt{{16m²}^{2} - {12m}^{2}} + 12m)

Next Step Prepare to Evaluate

∴

P = 2 \cdot (3.1416 \cdot \sqrt{16^{2} - 12^{2}} + 12)

Next Step Evaluate

∴

P = 90.4949830565287m

LAST Step Rounding Answer

∴

P = 90.495m

Perimeter of Cylinder given Diagonal and Height Formula Elements

Variables

Constants

Functions

Perimeter of Cylinder

Perimeter of Cylinder is the total distance around the boundary of the Cylinder.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Cylinder

Diagonal of Cylinder

Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.

Symbol: d

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Diagonal of Cylinder

Height of Cylinder

Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cylinder

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Perimeter of Cylinder

Go Perimeter of Cylinder

P = 2 \cdot (2 \cdot π \cdot r + h)

Go Perimeter of Cylinder given Lateral Surface Area and Radius

P = 2 \cdot (2 \cdot π \cdot r + \frac{LSA}{2 \cdot π \cdot r})

Go Perimeter of Cylinder given Volume and Radius

P = 2 \cdot (2 \cdot π \cdot r + \frac{V}{π \cdot r^{2}})

Go Perimeter of Cylinder given Diagonal and Radius

P = 2 \cdot (2 \cdot π \cdot r + \sqrt{d^{2} - {(2 \cdot r)}^{2}})

How to Evaluate Perimeter of Cylinder given Diagonal and Height?

Perimeter of Cylinder given Diagonal and Height evaluator uses Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder) to evaluate the Perimeter of Cylinder, The Perimeter of Cylinder given Diagonal and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the diagonal and height of the Cylinder. Perimeter of Cylinder is denoted by P symbol.

How to evaluate Perimeter of Cylinder given Diagonal and Height using this online evaluator? To use this online evaluator for Perimeter of Cylinder given Diagonal and Height, enter Diagonal of Cylinder (d) & Height of Cylinder (h) and hit the calculate button.

FAQs on Perimeter of Cylinder given Diagonal and Height

What is the formula to find Perimeter of Cylinder given Diagonal and Height?

The formula of Perimeter of Cylinder given Diagonal and Height is expressed as Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder). Here is an example- 90.49498 = 2*(pi*sqrt(16^2-12^2)+12).

How to calculate Perimeter of Cylinder given Diagonal and Height?

With Diagonal of Cylinder (d) & Height of Cylinder (h) we can find Perimeter of Cylinder given Diagonal and Height using the formula - Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Cylinder?

Here are the different ways to Calculate Perimeter of Cylinder-

Perimeter of Cylinder=2*(2*pi*Radius of Cylinder+Height of Cylinder)
Perimeter of Cylinder=2*(2*pi*Radius of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))
Perimeter of Cylinder=2*(2*pi*Radius of Cylinder+Volume of Cylinder/(pi*Radius of Cylinder^2))

Can the Perimeter of Cylinder given Diagonal and Height be negative?

No, the Perimeter of Cylinder given Diagonal and Height, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Cylinder given Diagonal and Height?

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

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Perimeter of Cylinder given Diagonal and Height Formula

​GoPerimeter of Cylinder Formula

​GoPerimeter of Cylinder given Lateral Surface Area and Radius Formula

Perimeter of Cylinder given Diagonal and Height Example

Perimeter of Cylinder given Diagonal and Height Solution

Perimeter of Cylinder given Diagonal and Height Formula Elements

Other Formulas to find Perimeter of Cylinder

How to Evaluate Perimeter of Cylinder given Diagonal and Height?

FAQs on Perimeter of Cylinder given Diagonal and Height

Variable Name

GoPerimeter of Cylinder Formula

GoPerimeter of Cylinder given Lateral Surface Area and Radius Formula