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Lateral Surface Area of Cylinder given Diagonal and Radius Formula

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GoLateral Surface Area of Cylinder given Volume and Radius Formula

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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. Check FAQs

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

LSA - Lateral Surface Area of Cylinder?r - Radius of Cylinder?d - Diagonal of Cylinder?π - Archimedes' constant?

Lateral Surface Area of Cylinder given Diagonal and Radius Example

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

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

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

392.3848 = 2 \cdot 3.1416 \cdot 5 \cdot \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

392.3848m² = 2 \cdot 3.1416 \cdot 5m \cdot \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}}

392.3848 = 2 \cdot 3.1416 \cdot 5 \cdot \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

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Lateral Surface Area of Cylinder given Diagonal and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

LSA = 392.384796669027m²

LAST Step Rounding Answer

∴

LSA = 392.3848m²

Lateral Surface Area of Cylinder given Diagonal and Radius Formula Elements

Variables

Constants

Functions

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

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 Lateral Surface Area of Cylinder

Go Lateral Surface Area of Cylinder

LSA = 2 \cdot π \cdot r \cdot h

Go Lateral Surface Area of Cylinder given Volume and Radius

LSA = \frac{2 \cdot V}{r}

Go Lateral Surface Area of Cylinder given Total Surface Area and Base Area

LSA = TSA - (2 \cdot A Base)

Other formulas in Lateral Surface Area of Cylinder category

Go Base Area of Cylinder

A Base = π \cdot r^{2}

Go Total Surface Area of Cylinder

TSA = 2 \cdot π \cdot r \cdot (h + r)

Go Total Surface Area of Cylinder given Diagonal and Height

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

Go Total Surface Area of Cylinder given Volume and Radius

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

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

Lateral Surface Area of Cylinder given Diagonal and Radius evaluator uses Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2) to evaluate the Lateral Surface Area of Cylinder, The Lateral Surface Area of Cylinder given Diagonal and Radius formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the diagonal and radius of the Cylinder. Lateral Surface Area of Cylinder is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Cylinder given Diagonal and Radius

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

The formula of Lateral Surface Area of Cylinder given Diagonal and Radius is expressed as Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). Here is an example- 392.3848 = 2*pi*5*sqrt(16^2-(2*5)^2).

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

With Radius of Cylinder (r) & Diagonal of Cylinder (d) we can find Lateral Surface Area of Cylinder given Diagonal and Radius using the formula - Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Cylinder?

Here are the different ways to Calculate Lateral Surface Area of Cylinder-

Lateral Surface Area of Cylinder=2*pi*Radius of Cylinder*Height of Cylinder
Lateral Surface Area of Cylinder=(2*Volume of Cylinder)/Radius of Cylinder
Lateral Surface Area of Cylinder=Total Surface Area of Cylinder-(2*Base Area of Cylinder)

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

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

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

Lateral Surface Area of Cylinder given Diagonal and Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Cylinder given Diagonal and Radius can be measured.

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Lateral Surface Area of Cylinder given Diagonal and Radius Formula

​GoLateral Surface Area of Cylinder Formula

​GoLateral Surface Area of Cylinder given Volume and Radius Formula

Lateral Surface Area of Cylinder given Diagonal and Radius Example

Lateral Surface Area of Cylinder given Diagonal and Radius Solution

Lateral Surface Area of Cylinder given Diagonal and Radius Formula Elements

Other Formulas to find Lateral Surface Area of Cylinder

Other formulas in Lateral Surface Area of Cylinder category

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

FAQs on Lateral Surface Area of Cylinder given Diagonal and Radius

Variable Name

GoLateral Surface Area of Cylinder Formula

GoLateral Surface Area of Cylinder given Volume and Radius Formula