Top Radius of Frustum of Cone given Top Area Calculator

✖Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.ⓘ Top Area of Frustum of Cone [A_Top]

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✖Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.ⓘ Top Radius of Frustum of Cone given Top Area [r_Top]

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Formula

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Top Radius of Frustum of Cone given Top Area

Formula

`"r"_{"Top"} = sqrt("A"_{"Top"}/pi)`

Example

`"10.01337m"=sqrt("315m²"/pi)`

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Top Radius of Frustum of Cone given Top Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)
r_Top = sqrt(A_Top/pi)
This formula uses 1 Constants, 1 Functions, 2 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

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

STEP 1: Convert Input(s) to Base Unit

Top Area of Frustum of Cone: 315 Square Meter --> 315 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Top = sqrt(A_Top/pi) --> sqrt(315/pi)

Evaluating ... ...

r_Top = 10.0133717671868

STEP 3: Convert Result to Output's Unit

10.0133717671868 Meter --> No Conversion Required

FINAL ANSWER

10.0133717671868 ≈ 10.01337 Meter <-- Top Radius of Frustum of Cone

(Calculation completed in 00.004 seconds)

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Credits

Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 3 Top Radius of Frustum of Cone Calculators

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

Go Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi)

Top Radius of Frustum of Cone given Slant Height

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

Top Radius of Frustum of Cone given Top Area

Go Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)

< 4 Radius of Frustum of Cone Calculators

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

Go Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(Base Area of Frustum of Cone/pi)

Base Radius of Frustum of Cone given Slant Height

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

Base Radius of Frustum of Cone given Base Area

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

Top Radius of Frustum of Cone given Top Area

Go Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)

Top Radius of Frustum of Cone given Top Area Formula

Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi)
r_Top = sqrt(A_Top/pi)

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 Top Radius of Frustum of Cone given Top Area?

Top Radius of Frustum of Cone given Top Area calculator uses Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi) to calculate the Top Radius of Frustum of Cone, The Top Radius of Frustum of Cone given Top Area formula is defined as the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone and calculated using the top area of the Frustum of Cone. Top Radius of Frustum of Cone is denoted by r_Top symbol.

How to calculate Top Radius of Frustum of Cone given Top Area using this online calculator? To use this online calculator for Top Radius of Frustum of Cone given Top Area, enter Top Area of Frustum of Cone (A_Top) and hit the calculate button. Here is how the Top Radius of Frustum of Cone given Top Area calculation can be explained with given input values -> 10.01337 = sqrt(315/pi).

FAQ

What is Top Radius of Frustum of Cone given Top Area?

The Top Radius of Frustum of Cone given Top Area formula is defined as the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone and calculated using the top area of the Frustum of Cone and is represented as r_Top = sqrt(A_Top/pi) or Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi). Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.

How to calculate Top Radius of Frustum of Cone given Top Area?

The Top Radius of Frustum of Cone given Top Area formula is defined as the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone and calculated using the top area of the Frustum of Cone is calculated using Top Radius of Frustum of Cone = sqrt(Top Area of Frustum of Cone/pi). To calculate Top Radius of Frustum of Cone given Top Area, you need Top Area of Frustum of Cone (A_Top). With our tool, you need to enter the respective value for Top Area 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 Top Radius of Frustum of Cone?

In this formula, Top Radius of Frustum of Cone uses Top Area of Frustum of Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -

Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+Base Radius of Frustum of Cone
Top Radius of Frustum of Cone = sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+sqrt(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)+sqrt(Base Area of Frustum of Cone/pi)

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