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Base Area of Cone given Lateral Surface Area and Slant Height Formula

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Base Area of Cone is the total quantity of plane enclosed on the base circular surface of the Cone. Check FAQs

A Base = π \cdot {(\frac{LSA}{π \cdot h Slant})}^{2}

A_Base - Base Area of Cone?LSA - Lateral Surface Area of Cone?h_Slant - Slant Height of Cone?π - Archimedes' constant?

Base Area of Cone given Lateral Surface Area and Slant Height Example

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Here is how the Base Area of Cone given Lateral Surface Area and Slant Height equation looks like with Values.

Here is how the Base Area of Cone given Lateral Surface Area and Slant Height equation looks like with Units.

Here is how the Base Area of Cone given Lateral Surface Area and Slant Height equation looks like.

322.2559 = 3.1416 \cdot {(\frac{350}{3.1416 \cdot 11})}^{2}

322.2559m² = 3.1416 \cdot {(\frac{350m²}{3.1416 \cdot 11m})}^{2}

322.2559 = 3.1416 \cdot {(\frac{350}{3.1416 \cdot 11})}^{2}

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Base Area of Cone given Lateral Surface Area and Slant Height Solution

Follow our step by step solution on how to calculate Base Area of Cone given Lateral Surface Area and Slant Height?

FIRST Step Consider the formula

A Base = π \cdot {(\frac{LSA}{π \cdot h Slant})}^{2}

Next Step Substitute values of Variables

∴

A Base = π \cdot {(\frac{350m²}{π \cdot 11m})}^{2}

Next Step Substitute values of Constants

∴

A Base = 3.1416 \cdot {(\frac{350m²}{3.1416 \cdot 11m})}^{2}

Next Step Prepare to Evaluate

∴

A Base = 3.1416 \cdot {(\frac{350}{3.1416 \cdot 11})}^{2}

Next Step Evaluate

∴

A Base = 322.255876508383m²

LAST Step Rounding Answer

∴

A Base = 322.2559m²

Base Area of Cone given Lateral Surface Area and Slant Height Formula Elements

Variables

Constants

Base Area of Cone

Base Area of Cone is the total quantity of plane enclosed on the base circular surface of the Cone.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area of Cone

Lateral Surface Area of Cone

Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cone

Slant Height of Cone

Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Cone

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

Other Formulas to find Base Area of Cone

Go Base Area of Cone

A Base = π \cdot {r Base}^{2}

Other formulas in Base Area of Cone category

Go Lateral Surface Area of Cone

LSA = π \cdot r Base \cdot h Slant

Go Lateral Surface Area of Cone given Height

LSA = π \cdot r Base \cdot \sqrt{h^{2} + {r Base}^{2}}

Go Lateral Surface Area of Cone given Volume

LSA = π \cdot r Base \cdot \sqrt{{(\frac{3 \cdot V}{π \cdot {r Base}^{2}})}^{2} + {r Base}^{2}}

Go Total Surface Area of Cone

TSA = π \cdot r Base \cdot (r Base + h Slant)

How to Evaluate Base Area of Cone given Lateral Surface Area and Slant Height?

Base Area of Cone given Lateral Surface Area and Slant Height evaluator uses Base Area of Cone = pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2 to evaluate the Base Area of Cone, Base Area of Cone given Lateral Surface Area and Slant Height formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the lateral surface area and slant height of the Cone. Base Area of Cone is denoted by A_Base symbol.

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

FAQs on Base Area of Cone given Lateral Surface Area and Slant Height

What is the formula to find Base Area of Cone given Lateral Surface Area and Slant Height?

The formula of Base Area of Cone given Lateral Surface Area and Slant Height is expressed as Base Area of Cone = pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2. Here is an example- 322.2559 = pi*(350/(pi*11))^2.

How to calculate Base Area of Cone given Lateral Surface Area and Slant Height?

With Lateral Surface Area of Cone (LSA) & Slant Height of Cone (h_Slant) we can find Base Area of Cone given Lateral Surface Area and Slant Height using the formula - Base Area of Cone = pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Base Area of Cone?

Here are the different ways to Calculate Base Area of Cone-

Base Area of Cone=pi*Base Radius of Cone^2

Can the Base Area of Cone given Lateral Surface Area and Slant Height be negative?

No, the Base Area of Cone given Lateral Surface Area and Slant Height, measured in Area cannot be negative.

Which unit is used to measure Base Area of Cone given Lateral Surface Area and Slant Height?

Base Area of Cone given Lateral Surface Area and Slant Height 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 Cone given Lateral Surface Area and Slant Height can be measured.

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Base Area of Cone given Lateral Surface Area and Slant Height Formula

​GoBase Area of Cone Formula

Base Area of Cone given Lateral Surface Area and Slant Height Example

Base Area of Cone given Lateral Surface Area and Slant Height Solution

Base Area of Cone given Lateral Surface Area and Slant Height Formula Elements

Other Formulas to find Base Area of Cone

Other formulas in Base Area of Cone category

How to Evaluate Base Area of Cone given Lateral Surface Area and Slant Height?

FAQs on Base Area of Cone given Lateral Surface Area and Slant Height

Variable Name

GoBase Area of Cone Formula