Chord Length of Quarter Circle given Arc Length Calculator

✖Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.ⓘ Arc Length of Quarter Circle [l_Arc]

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✖Chord Length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.ⓘ Chord Length of Quarter Circle given Arc Length [l_Chord]

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Chord Length of Quarter Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi
l_Chord = (sqrt(8)*l_Arc)/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

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.
Arc Length of Quarter Circle - (Measured in Meter) - Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Quarter Circle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Chord = (sqrt(8)*l_Arc)/pi --> (sqrt(8)*8)/pi

Evaluating ... ...

l_Chord = 7.20253052925685

STEP 3: Convert Result to Output's Unit

7.20253052925685 Meter --> No Conversion Required

FINAL ANSWER

7.20253052925685 ≈ 7.202531 Meter <-- Chord Length of Quarter Circle

(Calculation completed in 00.004 seconds)

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Created by Shivakshi Bhardwaj

Cluster Innovation Centre (CIC), Delhi, 110007

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Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

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< Chord Length of Quarter circle Calculators

Chord Length of Quarter Circle given Perimeter

LaTeX Go Chord Length of Quarter Circle = (sqrt(8)*Perimeter of Quarter Circle)/(pi+4)

Chord Length of Quarter Circle given Arc Length

LaTeX Go Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi

Chord Length of Quarter Circle given Area

LaTeX Go Chord Length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi)

Chord Length of Quarter Circle

LaTeX Go Chord Length of Quarter Circle = Radius of Quarter Circle*sqrt(2)

Chord Length of Quarter Circle given Arc Length Formula

LaTeX Go

Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi
l_Chord = (sqrt(8)*l_Arc)/pi

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 Arc Length?

Chord Length of Quarter Circle given Arc Length calculator uses Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi to calculate the Chord Length of Quarter Circle, The Chord Length of Quarter Circle given Arc Length formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using arc length. Chord Length of Quarter Circle is denoted by l_Chord symbol.

How to calculate Chord Length of Quarter Circle given Arc Length using this online calculator? To use this online calculator for Chord Length of Quarter Circle given Arc Length, enter Arc Length of Quarter Circle (l_Arc) and hit the calculate button. Here is how the Chord Length of Quarter Circle given Arc Length calculation can be explained with given input values -> 7.202531 = (sqrt(8)*8)/pi.

FAQ

What is Chord Length of Quarter Circle given Arc Length?

The Chord Length of Quarter Circle given Arc Length formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using arc length and is represented as l_Chord = (sqrt(8)*l_Arc)/pi or Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi. Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.

How to calculate Chord Length of Quarter Circle given Arc Length?

The Chord Length of Quarter Circle given Arc Length formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using arc length is calculated using Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi. To calculate Chord Length of Quarter Circle given Arc Length, you need Arc Length of Quarter Circle (l_Arc). With our tool, you need to enter the respective value for Arc Length 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 Arc Length 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)*Perimeter of Quarter Circle)/(pi+4)

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