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Perimeter of Cylinder given Diagonal 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 (2 \cdot π \cdot r + \sqrt{d^{2} - {(2 \cdot r)}^{2}})

P - Perimeter of Cylinder?r - Radius of Cylinder?d - Diagonal of Cylinder?π - Archimedes' constant?

Perimeter of Cylinder given Diagonal and Radius Example

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

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

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

87.8118 = 2 \cdot (2 \cdot 3.1416 \cdot 5 + \sqrt{16^{2} - {(2 \cdot 5)}^{2}})

87.8118m = 2 \cdot (2 \cdot 3.1416 \cdot 5m + \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}})

87.8118 = 2 \cdot (2 \cdot 3.1416 \cdot 5 + \sqrt{16^{2} - {(2 \cdot 5)}^{2}})

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Perimeter of Cylinder given Diagonal and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot (2 \cdot π \cdot 5m + \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}})

Next Step Substitute values of Constants

∴

P = 2 \cdot (2 \cdot 3.1416 \cdot 5m + \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}})

Next Step Prepare to Evaluate

∴

P = 2 \cdot (2 \cdot 3.1416 \cdot 5 + \sqrt{16^{2} - {(2 \cdot 5)}^{2}})

Next Step Evaluate

∴

P = 87.8118450653895m

LAST Step Rounding Answer

∴

P = 87.8118m

Perimeter of Cylinder given Diagonal and Radius 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

Radius of Cylinder

Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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

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 Volume and Height

P = 2 \cdot (2 \cdot \sqrt{\frac{π \cdot V}{h}} + h)

How to Evaluate Perimeter of Cylinder given Diagonal and Radius?

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

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

FAQs on Perimeter of Cylinder given Diagonal and Radius

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

The formula of Perimeter of Cylinder given Diagonal and Radius is expressed as Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)). Here is an example- 87.81185 = 2*(2*pi*5+sqrt(16^2-(2*5)^2)).

How to calculate Perimeter of Cylinder given Diagonal and Radius?

With Radius of Cylinder (r) & Diagonal of Cylinder (d) we can find Perimeter of Cylinder given Diagonal and Radius using the formula - Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)). This formula also uses Archimedes' constant and Square Root Function 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 Radius be negative?

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

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

Perimeter of Cylinder given Diagonal and Radius 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 Radius can be measured.

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Perimeter of Cylinder given Diagonal and Radius Formula

​GoPerimeter of Cylinder Formula

​GoPerimeter of Cylinder given Lateral Surface Area and Radius Formula

Perimeter of Cylinder given Diagonal and Radius Example

Perimeter of Cylinder given Diagonal and Radius Solution

Perimeter of Cylinder given Diagonal and Radius Formula Elements

Other Formulas to find Perimeter of Cylinder

How to Evaluate Perimeter of Cylinder given Diagonal and Radius?

FAQs on Perimeter of Cylinder given Diagonal and Radius

Variable Name

GoPerimeter of Cylinder Formula

GoPerimeter of Cylinder given Lateral Surface Area and Radius Formula