Base Radius of Cone given Base Circumference Calculator

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

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Base Radius of Cone given Base Circumference

Formula

`"r"_{"Base"} = "C"_{"Base"}/(2*pi)`

Example

`"9.549297m"="60m"/(2*pi)`

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Base Radius of Cone given Base Circumference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Radius of Cone = Base Circumference of Cone/(2*pi)
r_Base = C_Base/(2*pi)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Base Radius of Cone - (Measured in Meter) - Base Radius of Cone is defined as the distance between the center and any point on the circumference of 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

r_Base = C_Base/(2*pi) --> 60/(2*pi)

Evaluating ... ...

r_Base = 9.54929658551372

STEP 3: Convert Result to Output's Unit

9.54929658551372 Meter --> No Conversion Required

FINAL ANSWER

9.54929658551372 ≈ 9.549297 Meter <-- Base Radius of Cone

(Calculation completed in 00.004 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 Radius of Cone Calculators

Base Radius of Cone given Total Surface Area and Slant Height

Go Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)

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

Go Base Radius of Cone = sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi)

Base Radius of Cone given Volume

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

Base Radius of Cone given Lateral Surface Area and Slant Height

Go Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone)

Base Radius of Cone given Slant Height

Go Base Radius of Cone = sqrt(Slant Height of Cone^2-Height of Cone^2)

Base Radius of Cone given Base Area

Go Base Radius of Cone = sqrt(Base Area of Cone/pi)

Base Radius of Cone given Base Circumference

Go Base Radius of Cone = Base Circumference of Cone/(2*pi)

Base Radius of Cone given Base Circumference Formula

Base Radius of Cone = Base Circumference of Cone/(2*pi)
r_Base = C_Base/(2*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 Radius of Cone given Base Circumference?

Base Radius of Cone given Base Circumference calculator uses Base Radius of Cone = Base Circumference of Cone/(2*pi) to calculate the Base Radius of Cone, The Base Radius of Cone given Base Circumference formula is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone, and calculated using the base circumference of the Cone. Base Radius of Cone is denoted by r_Base symbol.

How to calculate Base Radius of Cone given Base Circumference using this online calculator? To use this online calculator for Base Radius of Cone given Base Circumference, enter Base Circumference of Cone (C_Base) and hit the calculate button. Here is how the Base Radius of Cone given Base Circumference calculation can be explained with given input values -> 9.549297 = 60/(2*pi).

FAQ

What is Base Radius of Cone given Base Circumference?

The Base Radius of Cone given Base Circumference formula is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone, and calculated using the base circumference of the Cone and is represented as r_Base = C_Base/(2*pi) or Base Radius of Cone = Base Circumference of Cone/(2*pi). Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.

How to calculate Base Radius of Cone given Base Circumference?

The Base Radius of Cone given Base Circumference formula is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone, and calculated using the base circumference of the Cone is calculated using Base Radius of Cone = Base Circumference of Cone/(2*pi). To calculate Base Radius of Cone given Base Circumference, you need Base Circumference of Cone (C_Base). 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 Radius of Cone?

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

Base Radius of Cone = sqrt(Base Area of Cone/pi)
Base Radius of Cone = Lateral Surface Area of Cone/(pi*Slant Height of Cone)
Base Radius of Cone = 1/2*(sqrt(Slant Height of Cone^2+(4*Total Surface Area of Cone)/pi)-Slant Height of Cone)
Base Radius of Cone = sqrt((3*Volume of Cone)/(pi*Height of Cone))
Base Radius of Cone = sqrt(Slant Height of Cone^2-Height of Cone^2)
Base Radius of Cone = sqrt((Total Surface Area of Cone-Lateral Surface Area of Cone)/pi)

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