Perimeter 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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✖Perimeter of Quarter Circle is the total length of all the boundary edges of Quarter Circle.ⓘ Perimeter of Quarter Circle given Chord Length [P]

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Perimeter of Quarter Circle given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Perimeter of Quarter Circle - (Measured in Meter) - Perimeter of Quarter Circle is the total length of all the boundary edges 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

P = ((pi+4)*l_Chord)/sqrt(8) --> ((pi+4)*7)/sqrt(8)

Evaluating ... ...

P = 17.6745400783888

STEP 3: Convert Result to Output's Unit

17.6745400783888 Meter --> No Conversion Required

FINAL ANSWER

17.6745400783888 ≈ 17.67454 Meter <-- Perimeter of Quarter Circle

(Calculation completed in 00.020 seconds)

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Created by Shivakshi Bhardwaj

Cluster Innovation Centre (CIC), Delhi, 110007

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IIT Madras (IIT Madras), Chennai

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< Perimeter of Quarter Circle Calculators

Perimeter of Quarter Circle given Area

LaTeX Go Perimeter of Quarter Circle = (pi+4)*sqrt(Area of Quarter Circle/pi)

Perimeter of Quarter Circle given Chord Length

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

Perimeter of Quarter Circle given Arc Length

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

Perimeter of Quarter Circle

LaTeX Go Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4)

Perimeter of Quarter Circle given Chord Length Formula

LaTeX Go

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

Perimeter of Quarter Circle given Chord Length calculator uses Perimeter of Quarter Circle = ((pi+4)*Chord Length of Quarter Circle)/sqrt(8) to calculate the Perimeter of Quarter Circle, The Perimeter of Quarter Circle given Chord Length formula is defined as the total length of the boundary of the Quarter Circle and calculated using chord length. Perimeter of Quarter Circle is denoted by P symbol.

How to calculate Perimeter of Quarter Circle given Chord Length using this online calculator? To use this online calculator for Perimeter of Quarter Circle given Chord Length, enter Chord Length of Quarter Circle (l_Chord) and hit the calculate button. Here is how the Perimeter of Quarter Circle given Chord Length calculation can be explained with given input values -> 17.67454 = ((pi+4)*7)/sqrt(8).

FAQ

What is Perimeter of Quarter Circle given Chord Length?

The Perimeter of Quarter Circle given Chord Length formula is defined as the total length of the boundary of the Quarter Circle and calculated using chord length and is represented as P = ((pi+4)*l_Chord)/sqrt(8) or Perimeter of Quarter Circle = ((pi+4)*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 Perimeter of Quarter Circle given Chord Length?

The Perimeter of Quarter Circle given Chord Length formula is defined as the total length of the boundary of the Quarter Circle and calculated using chord length is calculated using Perimeter of Quarter Circle = ((pi+4)*Chord Length of Quarter Circle)/sqrt(8). To calculate Perimeter 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 Perimeter of Quarter Circle?

In this formula, Perimeter 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 -

Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi
Perimeter of Quarter Circle = (pi+4)*sqrt(Area of Quarter Circle/pi)
Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4)

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