Chord length of Quarter Circle given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chord length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4)
lChord = (sqrt(8)*P)/(pi+4)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Chord length of Quarter Circle - (Measured in Meter) - Chord length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.
Perimeter of Quarter Circle - (Measured in Meter) - Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Quarter Circle: 18 Meter --> 18 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lChord = (sqrt(8)*P)/(pi+4) --> (sqrt(8)*18)/(pi+4)
Evaluating ... ...
lChord = 7.12889837252761
STEP 3: Convert Result to Output's Unit
7.12889837252761 Meter --> No Conversion Required
FINAL ANSWER
7.12889837252761 Meter <-- Chord length of Quarter Circle
(Calculation completed in 00.016 seconds)

Credits

Created by Shivakshi Bhardwaj
Cluster Innovation Centre (CIC), Delhi, 110007
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IIT Madras (IIT Madras), Chennai
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4 Chord length of a Quarter circle Calculators

Chord length of Quarter Circle given perimeter
Chord length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4) Go
Chord length of Quarter Circle given arc length
Chord length of Quarter Circle = (sqrt(8)*Arc length of Quarter Circle)/pi Go
Chord length of Quarter Circle given area
Chord length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi) Go
Chord length of Quarter Circle
Chord length of Quarter Circle = Radius of Quarter Circle*sqrt(2) Go

Chord length of Quarter Circle given perimeter Formula

Chord length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4)
lChord = (sqrt(8)*P)/(pi+4)

What is a Quarter Circle?

If we cut a Circle through any two perpendicular diameters, into four equal parts then one such part is actually called a Quarter Circle. The word 'quarter' means the fraction one fourth or 1 out of 4. So the name 'Quarter Circle' is because it possesses one fourth fraction of the complete circle. That is, both area and arc length is one fourth fraction of the original circle.

How to Calculate Chord length of Quarter Circle given perimeter?

Chord length of Quarter Circle given perimeter calculator uses Chord length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4) to calculate the Chord length of Quarter Circle, The Chord length of Quarter Circle given perimeter formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle. Chord length of Quarter Circle is denoted by lChord symbol.

How to calculate Chord length of Quarter Circle given perimeter using this online calculator? To use this online calculator for Chord length of Quarter Circle given perimeter, enter Perimeter of Quarter Circle (P) and hit the calculate button. Here is how the Chord length of Quarter Circle given perimeter calculation can be explained with given input values -> 7.128898 = (sqrt(8)*18)/(pi+4).

FAQ

What is Chord length of Quarter Circle given perimeter?
The Chord length of Quarter Circle given perimeter formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle and is represented as lChord = (sqrt(8)*P)/(pi+4) or Chord length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4). Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.
How to calculate Chord length of Quarter Circle given perimeter?
The Chord length of Quarter Circle given perimeter formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle is calculated using Chord length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4). To calculate Chord length of Quarter Circle given perimeter, you need Perimeter of Quarter Circle (P). With our tool, you need to enter the respective value for Perimeter of Quarter Circle 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 Chord length of Quarter Circle?
In this formula, Chord length of Quarter Circle uses Perimeter of Quarter Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Chord length of Quarter Circle = Radius of Quarter Circle*sqrt(2)
  • Chord length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi)
  • Chord length of Quarter Circle = (sqrt(8)*Arc length of Quarter Circle)/pi
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