Base Circumference of Cone given Total Surface Area and Lateral Surface Area Calculator

✖Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.ⓘ Total Surface Area of Cone [TSA]			+10% -10%
✖Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.ⓘ Lateral Surface Area of Cone [LSA]			+10% -10%

✖Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.ⓘ Base Circumference of Cone given Total Surface Area and Lateral Surface Area [C_Base]

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Formula

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Base Circumference of Cone given Total Surface Area and Lateral Surface Area

Formula

`"C"_{"Base"} = 2*pi*sqrt(("TSA"-"LSA")/pi)`

Example

`"62.91587m"=2*pi*sqrt(("665m²"-"350m²")/pi)`

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Base Circumference of Cone given Total Surface Area and Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Circumference of Cone = 2*pi*sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi)
C_Base = 2*pi*sqrt((TSA-LSA)/pi)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Base Circumference of Cone - (Measured in Meter) - Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.
Total Surface Area of Cone - (Measured in Square Meter) - Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone.
Lateral Surface Area of Cone - (Measured in Square Meter) - Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Cone: 665 Square Meter --> 665 Square Meter No Conversion Required
Lateral Surface Area of Cone: 350 Square Meter --> 350 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_Base = 2*pi*sqrt((TSA-LSA)/pi) --> 2*pi*sqrt((665-350)/pi)

Evaluating ... ...

C_Base = 62.9158703629151

STEP 3: Convert Result to Output's Unit

62.9158703629151 Meter --> No Conversion Required

FINAL ANSWER

62.9158703629151 ≈ 62.91587 Meter <-- Base Circumference of Cone

(Calculation completed in 00.005 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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< 7 Base Circumference of Cone Calculators

Base Circumference of Cone given Total Surface Area and Slant Height

Go Base Circumference of Cone = pi*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)

Base Circumference of Cone given Total Surface Area and Lateral Surface Area

Go Base Circumference of Cone = 2*pi*sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi)

Base Circumference of Cone given Volume

Go Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))

Base Circumference of Cone given Slant Height

Go Base Circumference of Cone = 2*pi*sqrt(Slant Height of Cone^2-Height of Cone^2)

Base Circumference of Cone given Base Area

Go Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)

Base Circumference of Cone given Lateral Surface Area and Slant Height

Go Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone

Base Circumference of Cone

Go Base Circumference of Cone = 2*pi*Base Radius of Cone

Base Circumference of Cone given Total Surface Area and Lateral Surface Area Formula

Base Circumference of Cone = 2*pi*sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi)
C_Base = 2*pi*sqrt((TSA-LSA)/pi)

What is a Cone?

A Cone is obtained by rotating a line inclined at a fixed acute angle from a fixed axis of rotation. The sharp tip is called the apex of the Cone. If the rotating line is crossing the axis of rotation, then the resulting shape is a double-napped Cone - two oppositely placed Cones joined on the apex. Cutting a Cone by a plane will result in some important two-dimensional shapes like circles, ellipses, parabolas, and hyperbolas, depending on the angle of cutting.

How to Calculate Base Circumference of Cone given Total Surface Area and Lateral Surface Area?

Base Circumference of Cone given Total Surface Area and Lateral Surface Area calculator uses Base Circumference of Cone = 2*pi*sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi) to calculate the Base Circumference of Cone, The Base Circumference of Cone given Total Surface Area and Lateral Surface Area formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the total surface area and lateral surface area of the Cone. Base Circumference of Cone is denoted by C_Base symbol.

How to calculate Base Circumference of Cone given Total Surface Area and Lateral Surface Area using this online calculator? To use this online calculator for Base Circumference of Cone given Total Surface Area and Lateral Surface Area, enter Total Surface Area of Cone (TSA) & Lateral Surface Area of Cone (LSA) and hit the calculate button. Here is how the Base Circumference of Cone given Total Surface Area and Lateral Surface Area calculation can be explained with given input values -> 62.91587 = 2*pi*sqrt((665-350)/pi).

FAQ

What is Base Circumference of Cone given Total Surface Area and Lateral Surface Area?

The Base Circumference of Cone given Total Surface Area and Lateral Surface Area formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the total surface area and lateral surface area of the Cone and is represented as C_Base = 2*pi*sqrt((TSA-LSA)/pi) or Base Circumference of Cone = 2*pi*sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi). Total Surface Area of Cone is defined as the total quantity of plane enclosed on the entire surface of the Cone & Lateral Surface Area of Cone is defined as the total quantity of plane enclosed on the lateral curved surface of the Cone.

How to calculate Base Circumference of Cone given Total Surface Area and Lateral Surface Area?

The Base Circumference of Cone given Total Surface Area and Lateral Surface Area formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the total surface area and lateral surface area of the Cone is calculated using Base Circumference of Cone = 2*pi*sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi). To calculate Base Circumference of Cone given Total Surface Area and Lateral Surface Area, you need Total Surface Area of Cone (TSA) & Lateral Surface Area of Cone (LSA). With our tool, you need to enter the respective value for Total Surface Area of Cone & Lateral Surface Area 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 Circumference of Cone?

In this formula, Base Circumference of Cone uses Total Surface Area of Cone & Lateral Surface Area of Cone. We can use 6 other way(s) to calculate the same, which is/are as follows -

Base Circumference of Cone = 2*pi*Base Radius of Cone
Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)
Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone
Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Circumference of Cone = 2*pi*sqrt(Slant Height of Cone^2-Height of Cone^2)
Base Circumference of Cone = pi*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)

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