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Top Area of Frustum of Cone Calculator

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✖Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.ⓘ Top Radius of Frustum of Cone [rTop]
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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.ⓘ Top Area of Frustum of Cone [ATop]
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Top Area of Frustum of Cone

Formula
`"A"_{"Top"} = pi*"r"_{"Top"}^2`

Example
`"314.1593m²"=pi*("10m")^2`

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Top Area of Frustum of Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2
ATop = pi*rTop^2
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Top Area of Frustum of Cone - (Measured in Square Meter) - 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.
Top Radius of Frustum of Cone - (Measured in Meter) - Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.
STEP 1: Convert Input(s) to Base Unit
Top Radius of Frustum of Cone: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ATop = pi*rTop^2 --> pi*10^2
Evaluating ... ...
ATop = 314.159265358979
STEP 3: Convert Result to Output's Unit
314.159265358979 Square Meter --> No Conversion Required
FINAL ANSWER
314.159265358979 ≈ 314.1593 Square Meter <-- Top Area of Frustum of Cone
(Calculation completed in 00.004 seconds)
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3 Top Area of Frustum of Cone Calculators

Top Area of Frustum of Cone given Slant Height and Base Area
Go 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
Top Area of Frustum of Cone given Slant Height
Go 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
Go Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2

10+ Surface Area of Frustum of Cone Calculators

Total Surface Area of Frustum of Cone given Volume
Go Total Surface Area of Frustum of Cone = pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2+(Top Radius of Frustum of Cone*Base Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2))+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)
Curved Surface Area of Frustum of Cone given Volume
Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2+(Top Radius of Frustum of Cone*Base Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2)
Total Surface Area of Frustum of Cone
Go Total Surface Area of Frustum of Cone = pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt((Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2))+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)
Curved Surface Area of Frustum of Cone
Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt((Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2)
Total Surface Area of Frustum of Cone given Slant Height
Go Total Surface Area of Frustum of Cone = pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone)+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)
Total Surface Area of Frustum of Cone given Curved Surface Area
Go Total Surface Area of Frustum of Cone = Curved Surface Area of Frustum of Cone+(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2))
Curved Surface Area of Frustum of Cone given Total Surface Area
Go Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2))
Curved Surface Area of Frustum of Cone given Slant Height
Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone
Base Area of Frustum of Cone
Go Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2
Top Area of Frustum of Cone
Go Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2

Top Area of Frustum of Cone Formula

Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2
ATop = pi*rTop^2

What is a Frustum of Cone?

A Frustum of Cone is the part of cone when it is cut by a (horizontally parallel to the base) plane into two parts. The upper part of the cone remains same in shape but the bottom part makes a frustum.

How to Calculate Top Area of Frustum of Cone?

Top Area of Frustum of Cone calculator uses Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2 to calculate the Top Area of Frustum of Cone, Top Area of Frustum of Cone formula is defined as the total amount of two-dimensional space occupied by the top face of the Frustum of Cone. Top Area of Frustum of Cone is denoted by ATop symbol.

How to calculate Top Area of Frustum of Cone using this online calculator? To use this online calculator for Top Area of Frustum of Cone, enter Top Radius of Frustum of Cone (rTop) and hit the calculate button. Here is how the Top Area of Frustum of Cone calculation can be explained with given input values -> 314.1593 = pi*10^2.

FAQ

What is Top Area of Frustum of Cone?
Top Area of Frustum of Cone formula is defined as the total amount of two-dimensional space occupied by the top face of the Frustum of Cone and is represented as ATop = pi*rTop^2 or Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2. Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.
How to calculate Top Area of Frustum of Cone?
Top Area of Frustum of Cone formula is defined as the total amount of two-dimensional space occupied by the top face of the Frustum of Cone is calculated using Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2. To calculate Top Area of Frustum of Cone, you need Top Radius of Frustum of Cone (rTop). With our tool, you need to enter the respective value for Top Radius of Frustum of Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Top Area of Frustum of Cone?
In this formula, Top Area of Frustum of Cone uses Top Radius of Frustum of Cone. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi))^2
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