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

GoBase Area of Cone Formula

GoBase Area of Cone given Base Circumference 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 = \frac{π}{4} \cdot {(\sqrt{{h Slant}^{2} + \frac{4 \cdot TSA}{π}} - h Slant)}^{2}

A_Base - Base Area of Cone?h_Slant - Slant Height of Cone?TSA - Total Surface Area of Cone?π - Archimedes' constant?

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

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

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

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

317.5596 = \frac{3.1416}{4} \cdot {(\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)}^{2}

317.5596m² = \frac{3.1416}{4} \cdot {(\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{3.1416}} - 11m)}^{2}

317.5596 = \frac{3.1416}{4} \cdot {(\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)}^{2}

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

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

FIRST Step Consider the formula

A Base = \frac{π}{4} \cdot {(\sqrt{{h Slant}^{2} + \frac{4 \cdot TSA}{π}} - h Slant)}^{2}

Next Step Substitute values of Variables

∴

A Base = \frac{π}{4} \cdot {(\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{π}} - 11m)}^{2}

Next Step Substitute values of Constants

∴

A Base = \frac{3.1416}{4} \cdot {(\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{3.1416}} - 11m)}^{2}

Next Step Prepare to Evaluate

∴

A Base = \frac{3.1416}{4} \cdot {(\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)}^{2}

Next Step Evaluate

∴

A Base = 317.559637090971m²

LAST Step Rounding Answer

∴

A Base = 317.5596m²

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

Variables

Constants

Functions

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

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

Total Surface Area of Cone

Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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 Cone

Go Base Area of Cone

A Base = π \cdot {r Base}^{2}

Go Base Area of Cone given Base Circumference

A Base = \frac{{C Base}^{2}}{4 \cdot π}

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

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

Go Base Area of Cone given Slant Height

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

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

Base Area of Cone given Total Surface Area and Slant Height evaluator uses Base Area of Cone = pi/4*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)^2 to evaluate the Base Area of Cone, The Base Area of Cone given Total 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 total 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 Total Surface Area and Slant Height using this online evaluator? To use this online evaluator for Base Area of Cone given Total Surface Area and Slant Height, enter Slant Height of Cone (h_Slant) & Total Surface Area of Cone (TSA) and hit the calculate button.

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

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

The formula of Base Area of Cone given Total Surface Area and Slant Height is expressed as Base Area of Cone = pi/4*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)^2. Here is an example- 317.5596 = pi/4*(sqrt(11^2+(4*665)/pi)-11)^2.

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

With Slant Height of Cone (h_Slant) & Total Surface Area of Cone (TSA) we can find Base Area of Cone given Total Surface Area and Slant Height using the formula - Base Area of Cone = pi/4*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)^2. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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
Base Area of Cone=(Base Circumference of Cone^2)/(4*pi)
Base Area of Cone=pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2

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

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

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

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

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

​GoBase Area of Cone Formula

​GoBase Area of Cone given Base Circumference Formula

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

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

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

Other Formulas to find Base Area of Cone

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

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

Variable Name

GoBase Area of Cone Formula

GoBase Area of Cone given Base Circumference Formula