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

GoBase Circumference of Cone Formula

GoBase Circumference of Cone given Base Area Formula

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Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone. Check FAQs

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

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

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

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

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

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

63.171 = 3.1416 \cdot (\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)

63.171m = 3.1416 \cdot (\sqrt{{11m}^{2} + \frac{4 \cdot 665m²}{3.1416}} - 11m)

63.171 = 3.1416 \cdot (\sqrt{11^{2} + \frac{4 \cdot 665}{3.1416}} - 11)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

C Base = 63.1709750743689m

LAST Step Rounding Answer

∴

C Base = 63.171m

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

Variables

Constants

Functions

Base Circumference of Cone

Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.

Symbol: C_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Circumference 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 Circumference of Cone

Go Base Circumference of Cone

C Base = 2 \cdot π \cdot r Base

Go Base Circumference of Cone given Base Area

C Base = 2 \cdot \sqrt{π \cdot A Base}

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

C Base = 2 \cdot \frac{LSA}{h Slant}

Go Base Circumference of Cone given Volume

C Base = 2 \cdot π \cdot \sqrt{\frac{3 \cdot V}{π \cdot h}}

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

Base Circumference of Cone given Total Surface Area and Slant Height evaluator uses Base Circumference of Cone = pi*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone) to evaluate the Base Circumference of Cone, The Base Circumference of Cone given Total Surface Area and Slant Height formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the total surface area and slant height of the Cone. Base Circumference of Cone is denoted by C_Base symbol.

How to evaluate Base Circumference of Cone given Total Surface Area and Slant Height using this online evaluator? To use this online evaluator for Base Circumference 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 Circumference of Cone given Total Surface Area and Slant Height

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

The formula of Base Circumference of Cone given Total Surface Area and Slant Height is expressed as Base Circumference of Cone = pi*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone). Here is an example- 63.17098 = pi*(sqrt(11^2+(4*665)/pi)-11).

How to calculate Base Circumference 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 Circumference of Cone given Total Surface Area and Slant Height using the formula - Base Circumference of Cone = pi*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

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

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

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

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

Base Circumference of Cone given Total Surface Area and Slant Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Base Circumference of Cone given Total Surface Area and Slant Height can be measured.

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

​GoBase Circumference of Cone Formula

​GoBase Circumference of Cone given Base Area Formula

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

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

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

Other Formulas to find Base Circumference of Cone

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

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

Variable Name

GoBase Circumference of Cone Formula

GoBase Circumference of Cone given Base Area Formula