Chord Length of Quarter Circle Calculator

✖Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.ⓘ Radius of Quarter Circle [r]

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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 [l_Chord]

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Formula

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Chord Length of Quarter Circle

Formula

`"l"_{"Chord"} = "r"*sqrt(2)`

Example

`"7.071068m"="5m"*sqrt(2)`

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Chord Length of Quarter Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Quarter Circle = Radius of Quarter Circle*sqrt(2)
l_Chord = r*sqrt(2)
This formula uses 1 Functions, 2 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

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.
Radius of Quarter Circle - (Measured in Meter) - Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Radius of Quarter Circle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Chord = r*sqrt(2) --> 5*sqrt(2)

Evaluating ... ...

l_Chord = 7.07106781186548

STEP 3: Convert Result to Output's Unit

7.07106781186548 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186548 ≈ 7.071068 Meter <-- Chord Length of Quarter Circle

(Calculation completed in 00.004 seconds)

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Credits

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

Jaseem K has verified this Calculator and 100+ more calculators!

< 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 Formula

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

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?

Chord Length of Quarter Circle calculator uses Chord Length of Quarter Circle = Radius of Quarter Circle*sqrt(2) to calculate the Chord Length of Quarter Circle, The Chord Length of Quarter Circle 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 l_Chord symbol.

How to calculate Chord Length of Quarter Circle using this online calculator? To use this online calculator for Chord Length of Quarter Circle, enter Radius of Quarter Circle (r) and hit the calculate button. Here is how the Chord Length of Quarter Circle calculation can be explained with given input values -> 7.071068 = 5*sqrt(2).

FAQ

What is Chord Length of Quarter Circle?

The Chord Length of Quarter Circle 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 l_Chord = r*sqrt(2) or Chord Length of Quarter Circle = Radius of Quarter Circle*sqrt(2). Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

How to calculate Chord Length of Quarter Circle?

The Chord Length of Quarter Circle 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 = Radius of Quarter Circle*sqrt(2). To calculate Chord Length of Quarter Circle, you need Radius of Quarter Circle (r). With our tool, you need to enter the respective value for Radius 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 Radius of Quarter Circle. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
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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