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

P - Perimeter of Cylinder?r - Radius of Cylinder?LSA - Lateral Surface Area of Cylinder?π - Archimedes' constant?

Perimeter of Cylinder given Lateral Surface Area and Radius Example

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

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

Here is how the Perimeter of Cylinder given Lateral Surface Area and Radius equation looks like.

87.0234 = 2 \cdot (2 \cdot 3.1416 \cdot 5 + \frac{380}{2 \cdot 3.1416 \cdot 5})

87.0234m = 2 \cdot (2 \cdot 3.1416 \cdot 5m + \frac{380m²}{2 \cdot 3.1416 \cdot 5m})

87.0234 = 2 \cdot (2 \cdot 3.1416 \cdot 5 + \frac{380}{2 \cdot 3.1416 \cdot 5})

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Perimeter of Cylinder given Lateral Surface Area and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 2 \cdot (2 \cdot π \cdot 5m + \frac{380m²}{2 \cdot π \cdot 5m})

Next Step Substitute values of Constants

∴

P = 2 \cdot (2 \cdot 3.1416 \cdot 5m + \frac{380m²}{2 \cdot 3.1416 \cdot 5m})

Next Step Prepare to Evaluate

∴

P = 2 \cdot (2 \cdot 3.1416 \cdot 5 + \frac{380}{2 \cdot 3.1416 \cdot 5})

Next Step Evaluate

∴

P = 87.023404421764m

LAST Step Rounding Answer

∴

P = 87.0234m

Perimeter of Cylinder given Lateral Surface Area and Radius Formula Elements

Variables

Constants

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

Lateral Surface Area of Cylinder

Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area 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

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 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}})

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 Lateral Surface Area and Radius?

Perimeter of Cylinder given Lateral Surface Area and Radius evaluator uses Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)) to evaluate the Perimeter of Cylinder, The Perimeter of Cylinder given Lateral Surface Area and Radius formula is defined as the total distance around the boundary of the Cylinder and is calculated using the lateral surface area and radius of the Cylinder. Perimeter of Cylinder is denoted by P symbol.

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

FAQs on Perimeter of Cylinder given Lateral Surface Area and Radius

What is the formula to find Perimeter of Cylinder given Lateral Surface Area and Radius?

The formula of Perimeter of Cylinder given Lateral Surface Area and Radius is expressed as Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)). Here is an example- 87.0234 = 2*(2*pi*5+380/(2*pi*5)).

How to calculate Perimeter of Cylinder given Lateral Surface Area and Radius?

With Radius of Cylinder (r) & Lateral Surface Area of Cylinder (LSA) we can find Perimeter of Cylinder given Lateral Surface Area and Radius using the formula - Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)). This formula also uses Archimedes' constant .

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+Volume of Cylinder/(pi*Radius of Cylinder^2))
Perimeter of Cylinder=2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2))

Can the Perimeter of Cylinder given Lateral Surface Area and Radius be negative?

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

Which unit is used to measure Perimeter of Cylinder given Lateral Surface Area and Radius?

Perimeter of Cylinder given Lateral Surface Area 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 Lateral Surface Area and Radius can be measured.

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Perimeter of Cylinder given Lateral Surface Area and Radius Formula

​GoPerimeter of Cylinder Formula

​GoPerimeter of Cylinder given Volume and Radius Formula

Perimeter of Cylinder given Lateral Surface Area and Radius Example

Perimeter of Cylinder given Lateral Surface Area and Radius Solution

Perimeter of Cylinder given Lateral Surface Area and Radius Formula Elements

Other Formulas to find Perimeter of Cylinder

How to Evaluate Perimeter of Cylinder given Lateral Surface Area and Radius?

FAQs on Perimeter of Cylinder given Lateral Surface Area and Radius

Variable Name

GoPerimeter of Cylinder Formula

GoPerimeter of Cylinder given Volume and Radius Formula