Base Area of Truncated Cone Calculator

✖Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.ⓘ Base Radius of Truncated Cone [r_Base]

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✖The Base Area of Truncated Cone is the total amount of two-dimensional space occupied by the base face of the Truncated Cone.ⓘ Base Area of Truncated Cone [A_Base]

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Formula

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Base Area of Truncated Cone

Formula

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

Example

`"78.53982m²"=pi*("5m")^2`

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Base Area of Truncated Cone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Truncated Cone = pi*Base Radius of Truncated Cone^2
A_Base = pi*r_Base^2
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Base Area of Truncated Cone - (Measured in Square Meter) - The Base Area of Truncated Cone is the total amount of two-dimensional space occupied by the base face of the Truncated Cone.
Base Radius of Truncated Cone - (Measured in Meter) - Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.

STEP 1: Convert Input(s) to Base Unit

Base Radius of Truncated Cone: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = pi*r_Base^2 --> pi*5^2

Evaluating ... ...

A_Base = 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 Truncated Cone

(Calculation completed in 00.017 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 1 Base Area of Truncated Cone Calculators

Base Area of Truncated Cone

Go Base Area of Truncated Cone = pi*Base Radius of Truncated Cone^2

Base Area of Truncated Cone Formula

Base Area of Truncated Cone = pi*Base Radius of Truncated Cone^2
A_Base = pi*r_Base^2

What is a Truncated Cone?

A Truncated Cone is basically a circular cone of which top is cut or 'truncated' by a horizontal plane. Or in another way, a Truncated Cone is formed when a smaller circular cone is cut from the top of a larger circular cone. The Truncated has two circular surfaces - one on top and another on the bottom, and a lateral curved surface. The slant height is the shortest distance between the two circles on the lateral surface, which is the surface without the circles.

How to Calculate Base Area of Truncated Cone?

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

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

FAQ

What is Base Area of Truncated Cone?

The Base Area of Truncated Cone formula is defined as the total amount of two-dimensional space occupied by the base face of the Truncated Cone and is represented as A_Base = pi*r_Base^2 or Base Area of Truncated Cone = pi*Base Radius of Truncated Cone^2. Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.

How to calculate Base Area of Truncated Cone?

The Base Area of Truncated Cone formula is defined as the total amount of two-dimensional space occupied by the base face of the Truncated Cone is calculated using Base Area of Truncated Cone = pi*Base Radius of Truncated Cone^2. To calculate Base Area of Truncated Cone, you need Base Radius of Truncated Cone (r_Base). With our tool, you need to enter the respective value for Base Radius of Truncated Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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