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Base Area of Frustum of Cone Formula

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The Base Area of Frustum of Cone is the total amount of two-dimensional space occupied by the base face of the Frustum of the Cone. Check FAQs

A Base = π \cdot {r Base}^{2}

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

Base Area of Frustum of Cone Example

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

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

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

78.5398 = 3.1416 \cdot 5^{2}

78.5398m² = 3.1416 \cdot {5m}^{2}

78.5398 = 3.1416 \cdot 5^{2}

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Base Area of Frustum of Cone Solution

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

FIRST Step Consider the formula

A Base = π \cdot {r Base}^{2}

Next Step Substitute values of Variables

∴

A Base = π \cdot {5m}^{2}

Next Step Substitute values of Constants

∴

A Base = 3.1416 \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

A Base = 3.1416 \cdot 5^{2}

Next Step Evaluate

∴

A Base = 78.5398163397448m²

LAST Step Rounding Answer

∴

A Base = 78.5398m²

Base Area of Frustum of Cone Formula Elements

Variables

Constants

Base Area of Frustum of Cone

The Base Area of Frustum of Cone is the total amount of two-dimensional space occupied by the base face of the Frustum of the Cone.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area of Frustum of Cone

Base Radius of Frustum of Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Frustum 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 in Base Area of Frustum of Cone category

Go Top Area of Frustum of Cone

A Top = π \cdot {r Top}^{2}

Go Total Surface Area of Frustum of Cone given Slant Height

TSA = π \cdot (((r Top + r Base) \cdot h Slant) + {r Top}^{2} + {r Base}^{2})

Go Total Surface Area of Frustum of Cone

TSA = π \cdot (((r Top + r Base) \cdot \sqrt{{(r Top - r Base)}^{2} + h^{2}}) + {r Top}^{2} + {r Base}^{2})

Go Total Surface Area of Frustum of Cone given Curved Surface Area

TSA = CSA + (π \cdot ({r Top}^{2} + {r Base}^{2}))

How to Evaluate Base Area of Frustum of Cone?

Base Area of Frustum of Cone evaluator uses Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2 to evaluate the Base Area of Frustum of Cone, Base Area of Frustum of Cone formula is defined as the total amount of two-dimensional space occupied by the base face of the Frustum of Cone. Base Area of Frustum of Cone is denoted by A_Base symbol.

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

FAQs on Base Area of Frustum of Cone

What is the formula to find Base Area of Frustum of Cone?

The formula of Base Area of Frustum of Cone is expressed as Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2. Here is an example- 78.53982 = pi*5^2.

How to calculate Base Area of Frustum of Cone?

With Base Radius of Frustum of Cone (r_Base) we can find Base Area of Frustum of Cone using the formula - Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2. This formula also uses Archimedes' constant .

Can the Base Area of Frustum of Cone be negative?

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

Which unit is used to measure Base Area of Frustum of Cone?

Base Area of Frustum 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 Frustum of Cone can be measured.

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