Perimeter of Quarter Circle Calculator

✖Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.ⓘ Radius of Quarter Circle [r]

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

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Perimeter of Quarter Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4)
P = 2*r*(1+pi/4)
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.
Radius of Quarter Circle - (Measured in Meter) - Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Radius of Quarter Circle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*r*(1+pi/4) --> 2*5*(1+pi/4)

Evaluating ... ...

P = 17.8539816339745

STEP 3: Convert Result to Output's Unit

17.8539816339745 Meter --> No Conversion Required

FINAL ANSWER

17.8539816339745 ≈ 17.85398 Meter <-- Perimeter of Quarter Circle

(Calculation completed in 00.004 seconds)

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Bhilai Institute of Technology (BIT), Raipur

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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 Formula

LaTeX Go

Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4)
P = 2*r*(1+pi/4)

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?

Perimeter of Quarter Circle calculator uses Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4) to calculate the Perimeter of Quarter Circle, Perimeter of Quarter Circle formula is defined as the distance around the edge of the Quarter circle. Perimeter of Quarter Circle is denoted by P symbol.

How to calculate Perimeter of Quarter Circle using this online calculator? To use this online calculator for Perimeter of Quarter Circle, enter Radius of Quarter Circle (r) and hit the calculate button. Here is how the Perimeter of Quarter Circle calculation can be explained with given input values -> 17.85398 = 2*5*(1+pi/4).

FAQ

What is Perimeter of Quarter Circle?

Perimeter of Quarter Circle formula is defined as the distance around the edge of the Quarter circle and is represented as P = 2*r*(1+pi/4) or Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4). Radius of Quarter Circle is the length of the line joining the center and any point on the curved edge of the Quarter Circle.

How to calculate Perimeter of Quarter Circle?

Perimeter of Quarter Circle formula is defined as the distance around the edge of the Quarter circle is calculated using Perimeter of Quarter Circle = 2*Radius of Quarter Circle*(1+pi/4). To calculate Perimeter of Quarter Circle, you need Radius of Quarter Circle (r). With our tool, you need to enter the respective value for Radius 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 Radius 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 = ((pi+4)*Chord Length of Quarter Circle)/sqrt(8)

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