Chord Length of Quarter Circle given Diameter Calculator

✖Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.ⓘ Diameter of Circle of Quarter Circle [D_Circle]

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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 Diameter [l_Chord]

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Formula

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Chord Length of Quarter Circle given Diameter

Formula

`"l"_{"Chord"} = "D"_{"Circle"}/sqrt(2)`

Example

`"7.071068m"="10m"/sqrt(2)`

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Chord Length of Quarter Circle given Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2)
l_Chord = D_Circle/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.
Diameter of Circle of Quarter Circle - (Measured in Meter) - Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circle of Quarter Circle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Chord = D_Circle/sqrt(2) --> 10/sqrt(2)

Evaluating ... ...

l_Chord = 7.07106781186547

STEP 3: Convert Result to Output's Unit

7.07106781186547 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186547 ≈ 7.071068 Meter <-- Chord Length of Quarter Circle

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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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 Diameter Formula

Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2)
l_Chord = D_Circle/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 given Diameter?

Chord Length of Quarter Circle given Diameter calculator uses Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2) to calculate the Chord Length of Quarter Circle, The Chord Length of Quarter Circle given Diameter formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using the diameter of the Quarter Circle. Chord Length of Quarter Circle is denoted by l_Chord symbol.

How to calculate Chord Length of Quarter Circle given Diameter using this online calculator? To use this online calculator for Chord Length of Quarter Circle given Diameter, enter Diameter of Circle of Quarter Circle (D_Circle) and hit the calculate button. Here is how the Chord Length of Quarter Circle given Diameter calculation can be explained with given input values -> 7.071068 = 10/sqrt(2).

FAQ

What is Chord Length of Quarter Circle given Diameter?

The Chord Length of Quarter Circle given Diameter formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using the diameter of the Quarter Circle and is represented as l_Chord = D_Circle/sqrt(2) or Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2). Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.

How to calculate Chord Length of Quarter Circle given Diameter?

The Chord Length of Quarter Circle given Diameter formula is defined as the length of the line joining the two ends of the curved edge of the Quarter Circle, calculated using the diameter of the Quarter Circle is calculated using Chord Length of Quarter Circle = Diameter of Circle of Quarter Circle/sqrt(2). To calculate Chord Length of Quarter Circle given Diameter, you need Diameter of Circle of Quarter Circle (D_Circle). With our tool, you need to enter the respective value for Diameter of Circle 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 Diameter of Circle 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*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

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