Perimeter of Quarter Circle given Arc Length Calculator

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

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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 Arc Length [P]

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Perimeter of Quarter Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi
P = ((pi+4)*l_Arc)/pi
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

STEP 1: Convert Input(s) to Base Unit

Arc Length of Quarter Circle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ((pi+4)*l_Arc)/pi --> ((pi+4)*8)/pi

Evaluating ... ...

P = 18.1859163578813

STEP 3: Convert Result to Output's Unit

18.1859163578813 Meter --> No Conversion Required

FINAL ANSWER

18.1859163578813 ≈ 18.18592 Meter <-- Perimeter of Quarter Circle

(Calculation completed in 00.004 seconds)

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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 Arc Length Formula

LaTeX Go

Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi
P = ((pi+4)*l_Arc)/pi

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 Arc Length?

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

How to calculate Perimeter of Quarter Circle given Arc Length using this online calculator? To use this online calculator for Perimeter of Quarter Circle given Arc Length, enter Arc Length of Quarter Circle (l_Arc) and hit the calculate button. Here is how the Perimeter of Quarter Circle given Arc Length calculation can be explained with given input values -> 18.18592 = ((pi+4)*8)/pi.

FAQ

What is Perimeter of Quarter Circle given Arc Length?

The Perimeter of Quarter Circle given Arc Length formula is defined as the total length of the boundary of the Quarter Circle and calculated using the arc length of the Quarter Circle and is represented as P = ((pi+4)*l_Arc)/pi or Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi. Arc Length of Quarter Circle is the length of the curved edge of Quarter Circle.

How to calculate Perimeter of Quarter Circle given Arc Length?

The Perimeter of Quarter Circle given Arc Length formula is defined as the total length of the boundary of the Quarter Circle and calculated using the arc length of the Quarter Circle is calculated using Perimeter of Quarter Circle = ((pi+4)*Arc Length of Quarter Circle)/pi. To calculate Perimeter of Quarter Circle given Arc Length, you need Arc Length of Quarter Circle (l_Arc). With our tool, you need to enter the respective value for Arc 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 Arc 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)*sqrt(Area of Quarter Circle/pi)
Perimeter of Quarter Circle = ((pi+4)*Chord Length of Quarter Circle)/sqrt(8)
Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4)

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