Arc Length of Quarter Circle given Chord Length 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 [l_Chord]

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

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Arc Length of Quarter Circle given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Chord Length of Quarter Circle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (pi*l_Chord)/sqrt(8) --> (pi*7)/sqrt(8)

Evaluating ... ...

l_Arc = 7.77504514177714

STEP 3: Convert Result to Output's Unit

7.77504514177714 Meter --> No Conversion Required

FINAL ANSWER

7.77504514177714 ≈ 7.775045 Meter <-- Arc 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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< Arc Length of Quarter Circle Calculators

Arc Length of Quarter Circle given Chord Length

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

Arc Length of Quarter Circle given Perimeter

LaTeX Go Arc Length of Quarter Circle = (pi*Perimeter of Quarter Circle)/(pi+4)

Arc Length of Quarter Circle given Area

LaTeX Go Arc Length of Quarter Circle = sqrt(pi*Area of Quarter Circle)

Arc Length of Quarter Circle

LaTeX Go Arc Length of Quarter Circle = (pi*Radius of Quarter Circle)/2

Arc Length of Quarter Circle given Chord Length Formula

LaTeX Go

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

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 Arc Length of Quarter Circle given Chord Length?

Arc Length of Quarter Circle given Chord Length calculator uses Arc Length of Quarter Circle = (pi*Chord Length of Quarter Circle)/sqrt(8) to calculate the Arc Length of Quarter Circle, The Arc Length of Quarter Circle given Chord Length formula is defined as the length of the curved part of the boundary of the given Quarter Circle. Arc Length of Quarter Circle is denoted by l_Arc symbol.

How to calculate Arc Length of Quarter Circle given Chord Length using this online calculator? To use this online calculator for Arc Length of Quarter Circle given Chord Length, enter Chord Length of Quarter Circle (l_Chord) and hit the calculate button. Here is how the Arc Length of Quarter Circle given Chord Length calculation can be explained with given input values -> 7.775045 = (pi*7)/sqrt(8).

FAQ

What is Arc Length of Quarter Circle given Chord Length?

The Arc Length of Quarter Circle given Chord Length formula is defined as the length of the curved part of the boundary of the given Quarter Circle and is represented as l_Arc = (pi*l_Chord)/sqrt(8) or Arc Length of Quarter Circle = (pi*Chord Length of Quarter Circle)/sqrt(8). Chord Length of Quarter Circle is the length of the line joining the two radii of the Quarter Circle.

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

The Arc Length of Quarter Circle given Chord Length formula is defined as the length of the curved part of the boundary of the given Quarter Circle is calculated using Arc Length of Quarter Circle = (pi*Chord Length of Quarter Circle)/sqrt(8). To calculate Arc Length of Quarter Circle given Chord Length, you need Chord Length of Quarter Circle (l_Chord). With our tool, you need to enter the respective value for Chord 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 Arc Length of Quarter Circle?

In this formula, Arc Length of Quarter Circle uses Chord Length of Quarter Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Arc Length of Quarter Circle = sqrt(pi*Area of Quarter Circle)
Arc Length of Quarter Circle = (pi*Radius of Quarter Circle)/2
Arc Length of Quarter Circle = (pi*Perimeter of Quarter Circle)/(pi+4)

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