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Base Area of Cone Formula

GoBase 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 {r Base}^{2}

A_Base - Base Area of Cone?r_Base - Base Radius of Cone?π - Archimedes' constant?

Base Area of Cone Example

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Here is how the Base Area of Cone equation looks like with Values.

Here is how the Base Area of Cone equation looks like with Units.

Here is how the Base Area of Cone equation looks like.

314.1593 = 3.1416 \cdot 10^{2}

314.1593m² = 3.1416 \cdot {10m}^{2}

314.1593 = 3.1416 \cdot 10^{2}

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Base Area of Cone Solution

Follow our step by step solution on how to calculate Base Area of Cone?

FIRST Step Consider the formula

A Base = π \cdot {r Base}^{2}

Next Step Substitute values of Variables

∴

A Base = π \cdot {10m}^{2}

Next Step Substitute values of Constants

∴

A Base = 3.1416 \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

A Base = 3.1416 \cdot 10^{2}

Next Step Evaluate

∴

A Base = 314.159265358979m²

LAST Step Rounding Answer

∴

A Base = 314.1593m²

Base Area of Cone 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

Base Radius of Cone

Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius 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 given Lateral Surface Area and Slant Height

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

Base Area of Cone evaluator uses Base Area of Cone = pi*Base Radius of Cone^2 to evaluate the Base Area of Cone, Base Area of Cone formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone. Base Area of Cone is denoted by A_Base symbol.

How to evaluate Base Area of Cone using this online evaluator? To use this online evaluator for Base Area of Cone, enter Base Radius of Cone (r_Base) and hit the calculate button.

FAQs on Base Area of Cone

What is the formula to find Base Area of Cone?

The formula of Base Area of Cone is expressed as Base Area of Cone = pi*Base Radius of Cone^2. Here is an example- 314.1593 = pi*10^2.

How to calculate Base Area of Cone?

With Base Radius of Cone (r_Base) we can find Base Area of Cone using the formula - Base Area of Cone = pi*Base Radius 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*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2

Can the Base Area of Cone be negative?

No, the Base Area of Cone, measured in Area cannot be negative.

Which unit is used to measure Base Area of Cone?

Base Area of Cone 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 can be measured.

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