Chord Length of Quarter Circle given Area Calculator

✖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 Area [l_Chord]

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Formula

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Chord Length of Quarter Circle given Area

Formula

`"l"_{"Chord"} = sqrt((8*"A")/pi)`

Example

`"7.136496m"=sqrt((8*"20m²")/pi)`

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Chord Length of Quarter Circle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi)
l_Chord = sqrt((8*A)/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.
Area of Quarter Circle - (Measured in Square Meter) - Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Area of Quarter Circle: 20 Square Meter --> 20 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Chord = sqrt((8*A)/pi) --> sqrt((8*20)/pi)

Evaluating ... ...

l_Chord = 7.13649646461108

STEP 3: Convert Result to Output's Unit

7.13649646461108 Meter --> No Conversion Required

FINAL ANSWER

7.13649646461108 ≈ 7.136496 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

Shivakshi Bhardwaj has created this Calculator and 100+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

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< 5 Chord Length of Quarter circle Calculators

Chord Length of Quarter Circle given Perimeter

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

Chord Length of Quarter Circle given Arc Length

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

Chord Length of Quarter Circle given Area

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

Chord Length of Quarter Circle given Diameter

Go Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2)

Chord Length of Quarter Circle

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

Chord Length of Quarter Circle given Area Formula

Chord Length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi)
l_Chord = sqrt((8*A)/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 Area?

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

How to calculate Chord Length of Quarter Circle given Area using this online calculator? To use this online calculator for Chord Length of Quarter Circle given Area, enter Area of Quarter Circle (A) and hit the calculate button. Here is how the Chord Length of Quarter Circle given Area calculation can be explained with given input values -> 7.136496 = sqrt((8*20)/pi).

FAQ

What is Chord Length of Quarter Circle given Area?

The Chord Length of Quarter Circle given Area formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using area and is represented as l_Chord = sqrt((8*A)/pi) or Chord Length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi). Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.

How to calculate Chord Length of Quarter Circle given Area?

The Chord Length of Quarter Circle given Area formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using area is calculated using Chord Length of Quarter Circle = sqrt((8*Area of Quarter Circle)/pi). To calculate Chord Length of Quarter Circle given Area, you need Area of Quarter Circle (A). With our tool, you need to enter the respective value for Area 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 Area of Quarter Circle. We can use 4 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)*Perimeter of Quarter Circle)/(pi+4)
Chord Length of Quarter Circle = (sqrt(8)*Arc Length of Quarter Circle)/pi
Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2)

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