Base Area of Cone given Base Circumference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Area of Cone = (Base Circumference of Cone^2)/(4*pi)
ABase = (CBase^2)/(4*pi)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Area of Cone - (Measured in Square Meter) - Base Area of Cone is the total quantity of plane enclosed on the base circular surface of the Cone.
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.
STEP 1: Convert Input(s) to Base Unit
Base Circumference of Cone: 60 Meter --> 60 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ABase = (CBase^2)/(4*pi) --> (60^2)/(4*pi)
Evaluating ... ...
ABase = 286.478897565412
STEP 3: Convert Result to Output's Unit
286.478897565412 Square Meter --> No Conversion Required
FINAL ANSWER
286.478897565412 286.4789 Square Meter <-- Base Area of Cone
(Calculation completed in 00.004 seconds)

Credits

Created by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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7 Base Area of Cone Calculators

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

Base Area of Cone given Base Circumference Formula

Base Area of Cone = (Base Circumference of Cone^2)/(4*pi)
ABase = (CBase^2)/(4*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 Area of Cone given Base Circumference?

Base Area of Cone given Base Circumference calculator uses Base Area of Cone = (Base Circumference of Cone^2)/(4*pi) to calculate the Base Area of Cone, Base Area of Cone given Base Circumference formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the base circumference of the Cone. Base Area of Cone is denoted by ABase symbol.

How to calculate Base Area of Cone given Base Circumference using this online calculator? To use this online calculator for Base Area of Cone given Base Circumference, enter Base Circumference of Cone (CBase) and hit the calculate button. Here is how the Base Area of Cone given Base Circumference calculation can be explained with given input values -> 286.4789 = (60^2)/(4*pi).

FAQ

What is Base Area of Cone given Base Circumference?
Base Area of Cone given Base Circumference formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the base circumference of the Cone and is represented as ABase = (CBase^2)/(4*pi) or Base Area of Cone = (Base Circumference of Cone^2)/(4*pi). Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.
How to calculate Base Area of Cone given Base Circumference?
Base Area of Cone given Base Circumference formula is defined as the total quantity of plane enclosed on the base circular surface of the Cone, and calculated using the base circumference of the Cone is calculated using Base Area of Cone = (Base Circumference of Cone^2)/(4*pi). To calculate Base Area of Cone given Base Circumference, you need Base Circumference of Cone (CBase). With our tool, you need to enter the respective value for Base Circumference 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 Cone?
In this formula, Base Area of Cone uses Base Circumference of Cone. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Base Area of Cone = pi*Base Radius of Cone^2
  • Base Area of Cone = pi*(Lateral Surface Area of Cone/(pi*Slant Height of Cone))^2
  • Base Area of Cone = pi*(Slant Height of Cone^2-Height of Cone^2)
  • Base Area of Cone = (3*Volume of Cone)/Height of Cone
  • Base Area of Cone = pi/4*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)^2
  • Base Area of Cone = Total Surface Area of Cone-Lateral Surface Area of Cone
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