Arc length of Quarter Circle given chord length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Arc length of Quarter Circle = (Chord length of Quarter Circle*pi)/sqrt(8)
lArc = (lChord*pi)/sqrt(8)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, 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
lArc = (lChord*pi)/sqrt(8) --> (7*pi)/sqrt(8)
Evaluating ... ...
lArc = 7.77504514177714
STEP 3: Convert Result to Output's Unit
7.77504514177714 Meter --> No Conversion Required
FINAL ANSWER
7.77504514177714 Meter <-- Arc length of Quarter Circle
(Calculation completed in 00.016 seconds)

Credits

Created by Shivakshi Bhardwaj
Cluster Innovation Centre (CIC), Delhi, 110007
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IIT Madras (IIT Madras), Chennai
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4 Arc length of Quarter Circle Calculators

Arc length of Quarter Circle given chord length
Arc length of Quarter Circle = (Chord length of Quarter Circle*pi)/sqrt(8) Go
Arc length of Quarter Circle given perimeter
Arc length of Quarter Circle = (pi*Perimeter of Quarter Circle)/(pi+4) Go
Arc length of Quarter Circle given area
Arc length of Quarter Circle = sqrt(pi*Area of Quarter Circle) Go
Arc length of Quarter Circle
Arc length of Quarter Circle = (pi*Radius of Quarter Circle)/2 Go

Arc length of Quarter Circle given chord length Formula

Arc length of Quarter Circle = (Chord length of Quarter Circle*pi)/sqrt(8)
lArc = (lChord*pi)/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 = (Chord length of Quarter Circle*pi)/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 lArc 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 (lChord) 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 = (7*pi)/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 lArc = (lChord*pi)/sqrt(8) or Arc length of Quarter Circle = (Chord length of Quarter Circle*pi)/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 = (Chord length of Quarter Circle*pi)/sqrt(8). To calculate Arc length of Quarter Circle given chord length, you need Chord length of Quarter Circle (lChord). 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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