Inner Radius of Circular Ring given Outer Radius and Area Calculator

✖The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Radius of Circular Ring [r_Outer]			+10% -10%
✖Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.ⓘ Area of Circular Ring [A]			+10% -10%

✖The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.ⓘ Inner Radius of Circular Ring given Outer Radius and Area [r_Inner]

⎘ Copy

👎

Formula

✖

Inner Radius of Circular Ring given Outer Radius and Area

Formula

`"r"_{"Inner"} = sqrt("r"_{"Outer"}^2-"A"/pi)`

Example

`"6.028103m"=sqrt(("10m")^2-"200m²"/pi)`

Calculator

LaTeX

Reset

👍

Download Circle Formula PDF PDF Image

Inner Radius of Circular Ring given Outer Radius and Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)
r_Inner = sqrt(r_Outer^2-A/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

Inner Radius of Circular Ring - (Measured in Meter) - The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.
Outer Radius of Circular Ring - (Measured in Meter) - The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.
Area of Circular Ring - (Measured in Square Meter) - Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Circular Ring: 10 Meter --> 10 Meter No Conversion Required
Area of Circular Ring: 200 Square Meter --> 200 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = sqrt(r_Outer^2-A/pi) --> sqrt(10^2-200/pi)

Evaluating ... ...

r_Inner = 6.02810274989087

STEP 3: Convert Result to Output's Unit

6.02810274989087 Meter --> No Conversion Required

FINAL ANSWER

6.02810274989087 ≈ 6.028103 Meter <-- Inner Radius of Circular Ring

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Circle » Circular Ring » Radius of Circular Ring » Inner Radius of Circular Ring » Inner Radius of Circular Ring given Outer Radius and Area

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

< 9 Inner Radius of Circular Ring Calculators

Inner Radius of Circular Ring given Area and Perimeter

Go Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2

Inner Radius of Circular Ring given Longest Interval and Perimeter

Go Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Longest Interval of Circular Ring^2/4))/((Perimeter of Circular Ring/(2*pi)))))/2

Inner Radius of Circular Ring given Area and Width

Go Inner Radius of Circular Ring = ((((Area of Circular Ring/pi))/Width of Circular Ring)-Width of Circular Ring)/2

Inner Radius of Circular Ring given Outer Radius and Area

Go Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)

Inner Radius of Circular Ring given Longest Interval and Width

Go Inner Radius of Circular Ring = ((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2

Inner Radius of Circular Ring given Outer Radius and Longest Interval

Go Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2)

Inner Radius of Circular Ring given Outer Radius and Perimeter

Go Inner Radius of Circular Ring = Perimeter of Circular Ring/(2*pi)-Outer Radius of Circular Ring

Inner Radius of Circular Ring given Perimeter and Width

Go Inner Radius of Circular Ring = (Perimeter of Circular Ring/(2*pi)-Width of Circular Ring)/2

Inner Radius of Circular Ring given Outer Radius and Width

Go Inner Radius of Circular Ring = Outer Radius of Circular Ring-Width of Circular Ring

Inner Radius of Circular Ring given Outer Radius and Area Formula

Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)
r_Inner = sqrt(r_Outer^2-A/pi)

What is Circular Ring?

Circular Ring is the ring shape formed by two concentric circles or the region in between the outer and inner circles among a pair of concentric circles. This shape is in general known as Annulus.

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Inner Radius of Circular Ring given Outer Radius and Area?

Inner Radius of Circular Ring given Outer Radius and Area calculator uses Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi) to calculate the Inner Radius of Circular Ring, The Inner Radius of Circular Ring given Outer Radius and Area formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and area of Circular Ring. Inner Radius of Circular Ring is denoted by r_Inner symbol.

How to calculate Inner Radius of Circular Ring given Outer Radius and Area using this online calculator? To use this online calculator for Inner Radius of Circular Ring given Outer Radius and Area, enter Outer Radius of Circular Ring (r_Outer) & Area of Circular Ring (A) and hit the calculate button. Here is how the Inner Radius of Circular Ring given Outer Radius and Area calculation can be explained with given input values -> 6.028103 = sqrt(10^2-200/pi).

FAQ

What is Inner Radius of Circular Ring given Outer Radius and Area?

The Inner Radius of Circular Ring given Outer Radius and Area formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and area of Circular Ring and is represented as r_Inner = sqrt(r_Outer^2-A/pi) or Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi). The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary & Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.

How to calculate Inner Radius of Circular Ring given Outer Radius and Area?

The Inner Radius of Circular Ring given Outer Radius and Area formula is defined as the radius of its cavity and the smaller radius among two concentric circles, and calculated using the outer radius and area of Circular Ring is calculated using Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi). To calculate Inner Radius of Circular Ring given Outer Radius and Area, you need Outer Radius of Circular Ring (r_Outer) & Area of Circular Ring (A). With our tool, you need to enter the respective value for Outer Radius of Circular Ring & Area of Circular Ring 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 Inner Radius of Circular Ring?

In this formula, Inner Radius of Circular Ring uses Outer Radius of Circular Ring & Area of Circular Ring. We can use 8 other way(s) to calculate the same, which is/are as follows -

Inner Radius of Circular Ring = ((((Area of Circular Ring/pi))/Width of Circular Ring)-Width of Circular Ring)/2
Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Area of Circular Ring/pi))/((Perimeter of Circular Ring/(2*pi)))))/2
Inner Radius of Circular Ring = ((((Longest Interval of Circular Ring^2/4))/Width of Circular Ring)-Width of Circular Ring)/2
Inner Radius of Circular Ring = ((Perimeter of Circular Ring/(2*pi))-(((Longest Interval of Circular Ring^2/4))/((Perimeter of Circular Ring/(2*pi)))))/2
Inner Radius of Circular Ring = Outer Radius of Circular Ring-Width of Circular Ring
Inner Radius of Circular Ring = sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2)
Inner Radius of Circular Ring = Perimeter of Circular Ring/(2*pi)-Outer Radius of Circular Ring
Inner Radius of Circular Ring = (Perimeter of Circular Ring/(2*pi)-Width of Circular Ring)/2

Home

FREE PDFs

🔍 Search