Longest Interval of Circular Ring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2)
ILongest = 2*sqrt(rOuter^2-rInner^2)
This formula uses 1 Functions, 3 Variables
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
Longest Interval of Circular Ring - (Measured in Meter) - Longest Interval of Circular Ring is the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Outer Radius of Circular Ring: 10 Meter --> 10 Meter No Conversion Required
Inner Radius of Circular Ring: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ILongest = 2*sqrt(rOuter^2-rInner^2) --> 2*sqrt(10^2-6^2)
Evaluating ... ...
ILongest = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Longest Interval of Circular Ring
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has created this Calculator and 400+ more calculators!
Verifier Image
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 1500+ more calculators!

Longest Interval of Circular Ring Calculators

Longest Interval of Circular Ring given Width and Inner Radius
​ LaTeX ​ Go Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring))
Longest Interval of Circular Ring given Width and Outer Radius
​ LaTeX ​ Go Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(2*Outer Radius of Circular Ring-Width of Circular Ring))
Longest Interval of Circular Ring
​ LaTeX ​ Go Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2)
Longest Interval of Circular Ring given Area
​ LaTeX ​ Go Longest Interval of Circular Ring = 2*sqrt(Area of Circular Ring/pi)

Longest Interval of Circular Ring Formula

​LaTeX ​Go
Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2)
ILongest = 2*sqrt(rOuter^2-rInner^2)

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 Longest Interval of Circular Ring?

Longest Interval of Circular Ring calculator uses Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2) to calculate the Longest Interval of Circular Ring, The Longest Interval of Circular Ring formula is defined as the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle. Longest Interval of Circular Ring is denoted by ILongest symbol.

How to calculate Longest Interval of Circular Ring using this online calculator? To use this online calculator for Longest Interval of Circular Ring, enter Outer Radius of Circular Ring (rOuter) & Inner Radius of Circular Ring (rInner) and hit the calculate button. Here is how the Longest Interval of Circular Ring calculation can be explained with given input values -> 16 = 2*sqrt(10^2-6^2).

FAQ

What is Longest Interval of Circular Ring?
The Longest Interval of Circular Ring formula is defined as the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle and is represented as ILongest = 2*sqrt(rOuter^2-rInner^2) or Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2). The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary & The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.
How to calculate Longest Interval of Circular Ring?
The Longest Interval of Circular Ring formula is defined as the length of the longest line segment within the Circular Ring, which is the chord tangent to the inner circle is calculated using Longest Interval of Circular Ring = 2*sqrt(Outer Radius of Circular Ring^2-Inner Radius of Circular Ring^2). To calculate Longest Interval of Circular Ring, you need Outer Radius of Circular Ring (rOuter) & Inner Radius of Circular Ring (rInner). With our tool, you need to enter the respective value for Outer Radius of Circular Ring & Inner Radius 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 Longest Interval of Circular Ring?
In this formula, Longest Interval of Circular Ring uses Outer Radius of Circular Ring & Inner Radius of Circular Ring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Longest Interval of Circular Ring = 2*sqrt(Area of Circular Ring/pi)
  • Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(Width of Circular Ring+2*Inner Radius of Circular Ring))
  • Longest Interval of Circular Ring = 2*sqrt(Width of Circular Ring*(2*Outer Radius of Circular Ring-Width of Circular Ring))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!