Base Area of Frustum of Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2
ABase = pi*rBase^2
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Area of Frustum of Cone - (Measured in Square Meter) - 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.
Base Radius of Frustum of Cone - (Measured in Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Base Radius of Frustum of Cone: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ABase = pi*rBase^2 --> pi*5^2
Evaluating ... ...
ABase = 78.5398163397448
STEP 3: Convert Result to Output's Unit
78.5398163397448 Square Meter --> No Conversion Required
FINAL ANSWER
78.5398163397448 78.53982 Square Meter <-- Base Area of Frustum of Cone
(Calculation completed in 00.004 seconds)

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3 Base Area of Frustum of Cone Calculators

Base Area of Frustum of Cone given Slant Height and Top Area
Go Base Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))^2
Base Area of Frustum of Cone given Slant Height
Go Base Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))^2
Base Area of Frustum of Cone
Go Base Area of Frustum of Cone = pi*Base 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

Base Area of Frustum of Cone Formula

Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2
ABase = pi*rBase^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 Base Area of Frustum of Cone?

Base Area of Frustum of Cone calculator uses Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2 to calculate 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 ABase symbol.

How to calculate Base Area of Frustum of Cone using this online calculator? To use this online calculator for Base Area of Frustum of Cone, enter Base Radius of Frustum of Cone (rBase) and hit the calculate button. Here is how the Base Area of Frustum of Cone calculation can be explained with given input values -> 78.53982 = pi*5^2.

FAQ

What is 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 and is represented as ABase = pi*rBase^2 or Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2. 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.
How to calculate 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 is calculated using Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2. To calculate Base Area of Frustum of Cone, you need Base Radius of Frustum of Cone (rBase). With our tool, you need to enter the respective value for Base 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 Base Area of Frustum of Cone?
In this formula, Base Area of Frustum of Cone uses Base Radius of Frustum of Cone. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Base Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))^2
  • Base Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))^2
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