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Base Area of Cylinder is the area of the base circular face of Cylinder. Check FAQs
ABase=(LSA2⋅π⋅h)2
ABase - Base Area of Cylinder?LSA - Lateral Surface Area of Cylinder?h - Height of Cylinder?π - Archimedes' constant?

Base Area of Cylinder given Lateral Surface Area Example

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

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

Here is how the Base Area of Cylinder given Lateral Surface Area equation looks like.

79.7985Edit=(380Edit2⋅3.1416⋅12Edit)2
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Base Area of Cylinder given Lateral Surface Area Solution

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

FIRST Step Consider the formula
ABase=(LSA2⋅π⋅h)2
Next Step Substitute values of Variables
∴ ABase=(380m²2⋅π⋅12m)2
Next Step Substitute values of Constants
∴ ABase=(380m²2⋅3.1416⋅12m)2
Next Step Prepare to Evaluate
∴ ABase=(3802⋅3.1416⋅12)2
Next Step Evaluate
∴ABase=79.7985200780197m²
LAST Step Rounding Answer
∴ABase=79.7985m²

Base Area of Cylinder given Lateral Surface Area Formula Elements

Variables
Constants
Functions
Base Area of Cylinder
Base Area of Cylinder is the area of the base circular face of Cylinder.
Symbol: ABase
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Base Area of CylinderOpen Variable
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 CylinderOpen Variable
Height of Cylinder
Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Height of CylinderOpen Variable
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 Base Area of Cylinder

​Go Base Area of Cylinder
ABase=π⋅r2
​Go Base Area of Cylinder given Volume
ABase=Vh
​Go Base Area of Cylinder given Diagonal
ABase=π4⋅(d2-h2)
​Go Base Area of Cylinder given Lateral Surface Area and Total Surface Area
ABase=TSA-LSA2

How to Evaluate Base Area of Cylinder given Lateral Surface Area?

Base Area of Cylinder given Lateral Surface Area evaluator uses Base Area of Cylinder = (Lateral Surface Area of Cylinder/(2*sqrt(pi)*Height of Cylinder))^2 to evaluate the Base Area of Cylinder, The Base Area of Cylinder given Lateral Surface Area formula is defined as the area of the base circular face of the Cylinder, and is calculated using the lateral surface area and height of the Cylinder. Base Area of Cylinder is denoted by ABase symbol.

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

FAQs on Base Area of Cylinder given Lateral Surface Area

What is the formula to find Base Area of Cylinder given Lateral Surface Area?
The formula of Base Area of Cylinder given Lateral Surface Area is expressed as Base Area of Cylinder = (Lateral Surface Area of Cylinder/(2*sqrt(pi)*Height of Cylinder))^2. Here is an example- 79.79852 = (380/(2*sqrt(pi)*12))^2.
How to calculate Base Area of Cylinder given Lateral Surface Area?
With Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h) we can find Base Area of Cylinder given Lateral Surface Area using the formula - Base Area of Cylinder = (Lateral Surface Area of Cylinder/(2*sqrt(pi)*Height of Cylinder))^2. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
What are the other ways to Calculate Base Area of Cylinder?
Here are the different ways to Calculate Base Area of Cylinder-
  • Base Area of Cylinder=pi*Radius of Cylinder^2OpenImg
  • Base Area of Cylinder=Volume of Cylinder/Height of CylinderOpenImg
  • Base Area of Cylinder=pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2)OpenImg
Can the Base Area of Cylinder given Lateral Surface Area be negative?
No, the Base Area of Cylinder given Lateral Surface Area, measured in Area cannot be negative.
Which unit is used to measure Base Area of Cylinder given Lateral Surface Area?
Base Area of Cylinder given Lateral Surface Area 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 Base Area of Cylinder given Lateral Surface Area can be measured.
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