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Top Area of Frustum of Cone given Slant Height and Base Area Formula

GoTop Area of Frustum of Cone given Slant Height Formula

GoTop Area of Frustum of Cone Formula

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Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone. Check FAQs

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

A_Top - Top Area of Frustum of Cone?h_Slant - Slant Height of Frustum of Cone?h - Height of Frustum of Cone?A_Base - Base Area of Frustum of Cone?π - Archimedes' constant?

Top Area of Frustum of Cone given Slant Height and Base Area Example

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

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

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

264.1368 = 3.1416 \cdot {(\sqrt{9^{2} - 8^{2}} + \sqrt{\frac{80}{3.1416}})}^{2}

264.1368m² = 3.1416 \cdot {(\sqrt{{9m}^{2} - {8m}^{2}} + \sqrt{\frac{80m²}{3.1416}})}^{2}

264.1368 = 3.1416 \cdot {(\sqrt{9^{2} - 8^{2}} + \sqrt{\frac{80}{3.1416}})}^{2}

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Top Area of Frustum of Cone given Slant Height and Base Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Top = π \cdot {(\sqrt{{9m}^{2} - {8m}^{2}} + \sqrt{\frac{80m²}{π}})}^{2}

Next Step Substitute values of Constants

∴

A Top = 3.1416 \cdot {(\sqrt{{9m}^{2} - {8m}^{2}} + \sqrt{\frac{80m²}{3.1416}})}^{2}

Next Step Prepare to Evaluate

∴

A Top = 3.1416 \cdot {(\sqrt{9^{2} - 8^{2}} + \sqrt{\frac{80}{3.1416}})}^{2}

Next Step Evaluate

∴

A Top = 264.136811726414m²

LAST Step Rounding Answer

∴

A Top = 264.1368m²

Top Area of Frustum of Cone given Slant Height and Base Area Formula Elements

Variables

Constants

Functions

Top Area of Frustum of Cone

Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.

Symbol: A_Top

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Top Area of Frustum of Cone

Slant Height of Frustum of Cone

The Slant Height of Frustum of Cone is the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Frustum of Cone

Height of Frustum of Cone

Height of Frustum of Cone is the maximum vertical distance from the bottom to the top circular face of the Frustum of the Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Frustum of Cone

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

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 Top Area of Frustum of Cone

Go Top Area of Frustum of Cone given Slant Height

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

Go Top Area of Frustum of Cone

A Top = π \cdot {r Top}^{2}

How to Evaluate Top Area of Frustum of Cone given Slant Height and Base Area?

Top Area of Frustum of Cone given Slant Height and Base Area evaluator uses Top Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi))^2 to evaluate the Top Area of Frustum of Cone, The Top Area of Frustum of Cone given Slant Height and Base Area formula is defined as the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone and calculated using the slant height, height and base area of the Frustum of Cone. Top Area of Frustum of Cone is denoted by A_Top symbol.

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

FAQs on Top Area of Frustum of Cone given Slant Height and Base Area

What is the formula to find Top Area of Frustum of Cone given Slant Height and Base Area?

The formula of Top Area of Frustum of Cone given Slant Height and Base Area is expressed as Top Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi))^2. Here is an example- 264.1368 = pi*(sqrt(9^2-8^2)+sqrt(80/pi))^2.

How to calculate Top Area of Frustum of Cone given Slant Height and Base Area?

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

What are the other ways to Calculate Top Area of Frustum of Cone?

Here are the different ways to Calculate Top Area of Frustum of Cone-

Top Area of Frustum of Cone=pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+Base Radius of Frustum of Cone)^2
Top Area of Frustum of Cone=pi*Top Radius of Frustum of Cone^2

Can the Top Area of Frustum of Cone given Slant Height and Base Area be negative?

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

Which unit is used to measure Top Area of Frustum of Cone given Slant Height and Base Area?

Top Area of Frustum of Cone given Slant Height and Base Area 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 Top Area of Frustum of Cone given Slant Height and Base Area can be measured.

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Top Area of Frustum of Cone given Slant Height and Base Area Formula

​GoTop Area of Frustum of Cone given Slant Height Formula

​GoTop Area of Frustum of Cone Formula

Top Area of Frustum of Cone given Slant Height and Base Area Example

Top Area of Frustum of Cone given Slant Height and Base Area Solution

Top Area of Frustum of Cone given Slant Height and Base Area Formula Elements

Other Formulas to find Top Area of Frustum of Cone

How to Evaluate Top Area of Frustum of Cone given Slant Height and Base Area?

FAQs on Top Area of Frustum of Cone given Slant Height and Base Area

Variable Name

GoTop Area of Frustum of Cone given Slant Height Formula

GoTop Area of Frustum of Cone Formula