Lateral Surface Area of Cylinder given Diagonal and Radius Calculator

✖Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.ⓘ Radius of Cylinder [r]			+10% -10%
✖Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.ⓘ Diagonal of Cylinder [d]			+10% -10%

✖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.ⓘ Lateral Surface Area of Cylinder given Diagonal and Radius [LSA]

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Formula

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Lateral Surface Area of Cylinder given Diagonal and Radius

Formula

`"LSA" = 2*pi*"r"*sqrt("d"^2-(2*"r")^2)`

Example

`"392.3848m²"=2*pi*"5m"*sqrt(("16m²")^2-(2*"5m")^2)`

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Lateral Surface Area of Cylinder given Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
LSA = 2*pi*r*sqrt(d^2-(2*r)^2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Lateral Surface Area of Cylinder - (Measured in Square Meter) - 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.
Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.
Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.

STEP 1: Convert Input(s) to Base Unit

Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required
Diagonal of Cylinder: 16 Square Meter --> 16 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 2*pi*r*sqrt(d^2-(2*r)^2) --> 2*pi*5*sqrt(16^2-(2*5)^2)

Evaluating ... ...

LSA = 392.384796669027

STEP 3: Convert Result to Output's Unit

392.384796669027 Square Meter --> No Conversion Required

FINAL ANSWER

392.384796669027 ≈ 392.3848 Square Meter <-- Lateral Surface Area of Cylinder

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 12 Lateral Surface Area of Cylinder Calculators

Lateral Surface Area of Cylinder given Total Surface Area and Radius

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Radius

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)

Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height

Go Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)

Lateral Surface Area of Cylinder given Diagonal and Radius

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)

Lateral Surface Area of Cylinder given Perimeter and Radius

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)

Lateral Surface Area of Cylinder given Diagonal and Height

Go Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)

Lateral Surface Area of Cylinder given Base Area

Go Lateral Surface Area of Cylinder = 2*Height of Cylinder*sqrt(pi*Base Area of Cylinder)

Lateral Surface Area of Cylinder given Volume and Height

Go Lateral Surface Area of Cylinder = 2*sqrt(pi*Volume of Cylinder*Height of Cylinder)

Lateral Surface Area of Cylinder given Perimeter and Height

Go Lateral Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*Height of Cylinder

Lateral Surface Area of Cylinder

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*Height of Cylinder

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

Go Lateral Surface Area of Cylinder = Total Surface Area of Cylinder-(2*Base Area of Cylinder)

Lateral Surface Area of Cylinder given Volume and Radius

Go Lateral Surface Area of Cylinder = (2*Volume of Cylinder)/Radius of Cylinder

< 9 Surface Area of Cylinder Calculators

Total Surface Area of Cylinder given Diagonal and Height

Go Total Surface Area of Cylinder = pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)

Total Surface Area of Cylinder given Volume and Radius

Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder)

Lateral Surface Area of Cylinder given Diagonal and Radius

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)

Total Surface Area of Cylinder

Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)

Lateral Surface Area of Cylinder

Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*Height of Cylinder

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

Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)

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

Go Lateral Surface Area of Cylinder = Total Surface Area of Cylinder-(2*Base Area of Cylinder)

Lateral Surface Area of Cylinder given Volume and Radius

Go Lateral Surface Area of Cylinder = (2*Volume of Cylinder)/Radius of Cylinder

Base Area of Cylinder

Go Base Area of Cylinder = pi*Radius of Cylinder^2

Lateral Surface Area of Cylinder given Diagonal and Radius Formula

Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
LSA = 2*pi*r*sqrt(d^2-(2*r)^2)

What is a Cylinder?

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the Cylinder.

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

Lateral Surface Area of Cylinder given Diagonal and Radius calculator uses Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2) to calculate 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 calculate Lateral Surface Area of Cylinder given Diagonal and Radius using this online calculator? To use this online calculator for Lateral Surface Area of Cylinder given Diagonal and Radius, enter Radius of Cylinder (r) & Diagonal of Cylinder (d) and hit the calculate button. Here is how the Lateral Surface Area of Cylinder given Diagonal and Radius calculation can be explained with given input values -> 392.3848 = 2*pi*5*sqrt(16^2-(2*5)^2).

FAQ

What is Lateral Surface Area of Cylinder given Diagonal and Radius?

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 and is represented as LSA = 2*pi*r*sqrt(d^2-(2*r)^2) or Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder & Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.

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

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 is calculated using Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). To calculate Lateral Surface Area of Cylinder given Diagonal and Radius, you need Radius of Cylinder (r) & Diagonal of Cylinder (d). With our tool, you need to enter the respective value for Radius of Cylinder & Diagonal of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Lateral Surface Area of Cylinder?

In this formula, Lateral Surface Area of Cylinder uses Radius of Cylinder & Diagonal of Cylinder. We can use 14 other way(s) to calculate the same, which is/are as follows -

Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*Height of Cylinder
Lateral Surface Area of Cylinder = Total Surface Area of Cylinder-(2*Base Area of Cylinder)
Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)
Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)
Lateral Surface Area of Cylinder = (2*Volume of Cylinder)/Radius of Cylinder
Lateral Surface Area of Cylinder = 2*sqrt(pi*Volume of Cylinder*Height of Cylinder)
Lateral Surface Area of Cylinder = 2*Height of Cylinder*sqrt(pi*Base Area of Cylinder)
Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)
Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)
Lateral Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*Height of Cylinder
Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius 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)

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