Base Area of Cylinder given Diagonal Calculator

✖Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.ⓘ Diagonal of Cylinder [d]			+10% -10%
✖Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.ⓘ Height of Cylinder [h]			+10% -10%

✖Base Area of Cylinder is the area of the base circular face of Cylinder.ⓘ Base Area of Cylinder given Diagonal [A_Base]

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Base Area of Cylinder given Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2)
A_Base = pi/4*(d^2-h^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Base Area of Cylinder - (Measured in Square Meter) - Base Area of Cylinder is the area of the base circular face of Cylinder.
Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.
Height of Cylinder - (Measured in Meter) - Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Cylinder: 16 Square Meter --> 16 Square Meter No Conversion Required
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = pi/4*(d^2-h^2) --> pi/4*(16^2-12^2)

Evaluating ... ...

A_Base = 87.9645943005142

STEP 3: Convert Result to Output's Unit

87.9645943005142 Square Meter --> No Conversion Required

FINAL ANSWER

87.9645943005142 ≈ 87.96459 Square Meter <-- Base Area of Cylinder

(Calculation completed in 00.020 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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< Base Area of Cylinder Calculators

Base Area of Cylinder given Lateral Surface Area

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

Base Area of Cylinder given Diagonal

LaTeX Go Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2)

Base Area of Cylinder given Volume

LaTeX Go Base Area of Cylinder = Volume of Cylinder/Height of Cylinder

Base Area of Cylinder

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

Base Area of Cylinder given Diagonal Formula

LaTeX Go

Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2)
A_Base = pi/4*(d^2-h^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 Base Area of Cylinder given Diagonal?

Base Area of Cylinder given Diagonal calculator uses Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2) to calculate the Base Area of Cylinder, The Base Area of Cylinder given Diagonal formula is defined as the area of the base circular face of the Cylinder and is calculated using the diagonal and height of the Cylinder. Base Area of Cylinder is denoted by A_Base symbol.

How to calculate Base Area of Cylinder given Diagonal using this online calculator? To use this online calculator for Base Area of Cylinder given Diagonal, enter Diagonal of Cylinder (d) & Height of Cylinder (h) and hit the calculate button. Here is how the Base Area of Cylinder given Diagonal calculation can be explained with given input values -> 87.96459 = pi/4*(16^2-12^2).

FAQ

What is Base Area of Cylinder given Diagonal?

The Base Area of Cylinder given Diagonal formula is defined as the area of the base circular face of the Cylinder and is calculated using the diagonal and height of the Cylinder and is represented as A_Base = pi/4*(d^2-h^2) or Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2). Diagonal of Cylinder is the distance between two opposite corners of a Cylinder & Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

How to calculate Base Area of Cylinder given Diagonal?

The Base Area of Cylinder given Diagonal formula is defined as the area of the base circular face of the Cylinder and is calculated using the diagonal and height of the Cylinder is calculated using Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2). To calculate Base Area of Cylinder given Diagonal, you need Diagonal of Cylinder (d) & Height of Cylinder (h). With our tool, you need to enter the respective value for Diagonal of Cylinder & Height 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 Base Area of Cylinder?

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

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

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