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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
ATop=π⋅(hSlant2-h2+rBase)2
ATop - Top Area of Frustum of Cone?hSlant - Slant Height of Frustum of Cone?h - Height of Frustum of Cone?rBase - Base Radius of Frustum of Cone?π - Archimedes' constant?

Top Area of Frustum of Cone given Slant Height Example

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

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

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

261.4781Edit=3.1416⋅(9Edit2-8Edit2+5Edit)2
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Top Area of Frustum of Cone given Slant Height Solution

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

FIRST Step Consider the formula
ATop=π⋅(hSlant2-h2+rBase)2
Next Step Substitute values of Variables
∴ ATop=π⋅(9m2-8m2+5m)2
Next Step Substitute values of Constants
∴ ATop=3.1416⋅(9m2-8m2+5m)2
Next Step Prepare to Evaluate
∴ ATop=3.1416⋅(92-82+5)2
Next Step Evaluate
∴ATop=261.478074884923m²
LAST Step Rounding Answer
∴ATop=261.4781m²

Top Area of Frustum of Cone given Slant Height 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: ATop
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Top Area of Frustum of ConeOpen Variable
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: hSlant
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Slant Height of Frustum of ConeOpen Variable
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 ConeOpen Variable
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: rBase
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Base Radius of Frustum of ConeOpen Variable
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 and Base Area
ATop=π⋅(hSlant2-h2+ABaseπ)2
​Go Top Area of Frustum of Cone
ATop=π⋅rTop2

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

Top Area of Frustum of Cone given Slant Height evaluator uses 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 to evaluate the Top Area of Frustum of Cone, The Top Area of Frustum of Cone given Slant Height 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 of the Frustum of Cone. Top Area of Frustum of Cone is denoted by ATop symbol.

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

FAQs on Top Area of Frustum of Cone given Slant Height

What is the formula to find Top Area of Frustum of Cone given Slant Height?
The formula of Top Area of Frustum of Cone given Slant Height is expressed as 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. Here is an example- 261.4781 = pi*(sqrt(9^2-8^2)+5)^2.
How to calculate Top Area of Frustum of Cone given Slant Height?
With Slant Height of Frustum of Cone (hSlant), Height of Frustum of Cone (h) & Base Radius of Frustum of Cone (rBase) we can find Top Area of Frustum of Cone given Slant Height using the formula - 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. This formula also uses Archimedes' constant and Square Root Function 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)+sqrt(Base Area of Frustum of Cone/pi))^2OpenImg
  • Top Area of Frustum of Cone=pi*Top Radius of Frustum of Cone^2OpenImg
Can the Top Area of Frustum of Cone given Slant Height be negative?
No, the Top Area of Frustum of Cone given Slant Height, measured in Area cannot be negative.
Which unit is used to measure Top Area of Frustum of Cone given Slant Height?
Top Area of Frustum of Cone given 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 Top Area of Frustum of Cone given Slant Height can be measured.
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