Perimeter 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%

✖Perimeter of Cylinder is the total distance around the boundary of the Cylinder.ⓘ Perimeter of Cylinder given Diagonal and Radius [P]

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Perimeter of Cylinder given Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Perimeter of Cylinder - (Measured in Meter) - Perimeter of Cylinder is the total distance around the boundary 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

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

Evaluating ... ...

P = 87.8118450653895

STEP 3: Convert Result to Output's Unit

87.8118450653895 Meter --> No Conversion Required

FINAL ANSWER

87.8118450653895 ≈ 87.81185 Meter <-- Perimeter of Cylinder

(Calculation completed in 00.004 seconds)

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

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< Perimeter of Cylinder Calculators

Perimeter of Cylinder given Lateral Surface Area and Radius

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

Perimeter of Cylinder given Diagonal and Radius

LaTeX Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2))

Perimeter of Cylinder given Volume and Radius

LaTeX Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Volume of Cylinder/(pi*Radius of Cylinder^2))

Perimeter of Cylinder

LaTeX Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Height of Cylinder)

Perimeter of Cylinder given Diagonal and Radius Formula

LaTeX Go

Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2))
P = 2*(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 Perimeter of Cylinder given Diagonal and Radius?

Perimeter of Cylinder given Diagonal and Radius calculator uses Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)) to calculate 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 calculate Perimeter of Cylinder given Diagonal and Radius using this online calculator? To use this online calculator for Perimeter of Cylinder given Diagonal and Radius, enter Radius of Cylinder (r) & Diagonal of Cylinder (d) and hit the calculate button. Here is how the Perimeter of Cylinder given Diagonal and Radius calculation can be explained with given input values -> 87.81185 = 2*(2*pi*5+sqrt(16^2-(2*5)^2)).

FAQ

What is Perimeter of Cylinder given Diagonal and Radius?

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 and is represented as P = 2*(2*pi*r+sqrt(d^2-(2*r)^2)) or Perimeter of Cylinder = 2*(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 Perimeter of Cylinder given Diagonal and Radius?

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 is calculated using Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)). To calculate Perimeter 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 Perimeter of Cylinder?

In this formula, Perimeter of Cylinder uses Radius of Cylinder & Diagonal of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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