Base Area of Frustum of Cone Calculator

✖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.ⓘ Base Radius of Frustum of Cone [r_Base]

+10%

-10%

✖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 Area of Frustum of Cone [A_Base]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Frustum of Cone Formula PDF PDF Image

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
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 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

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 Frustum of Cone

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Frustum of Cone » Surface Area of Frustum of Cone » Base Area of Frustum of Cone » Base Area of Frustum of Cone

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< Base Area of Frustum of Cone Calculators

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

LaTeX 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

LaTeX 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

LaTeX Go Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2

< Surface Area of Frustum of Cone Calculators

Total Surface Area of Frustum of Cone

LaTeX 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)

Total Surface Area of Frustum of Cone given Slant Height

LaTeX 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)

Base Area of Frustum of Cone

LaTeX Go Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2

Top Area of Frustum of Cone

LaTeX Go Top Area of Frustum of Cone = pi*Top Radius of Frustum of Cone^2

Base Area of Frustum of Cone Formula

LaTeX Go

Base Area of Frustum of Cone = pi*Base Radius of Frustum of Cone^2
A_Base = pi*r_Base^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 A_Base 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 (r_Base) 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 A_Base = pi*r_Base^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 (r_Base). 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

Home

FREE PDFs

🔍 Search