Radius of Quarter Circle given Perimeter Calculator

✖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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✖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 given Perimeter [r]

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Radius of Quarter Circle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Perimeter of Quarter Circle: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (2*P)/(pi+4) --> (2*18)/(pi+4)

Evaluating ... ...

r = 5.04089238160402

STEP 3: Convert Result to Output's Unit

5.04089238160402 Meter --> No Conversion Required

FINAL ANSWER

5.04089238160402 ≈ 5.040892 Meter <-- Radius of Quarter Circle

(Calculation completed in 00.020 seconds)

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< Radius of Quarter Circle Calculators

Radius of Quarter Circle given Area

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

Radius of Quarter Circle given Perimeter

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

Radius of Quarter Circle given Chord Length

LaTeX Go Radius of Quarter Circle = Chord Length of Quarter Circle/sqrt(2)

Radius of Quarter Circle given Arc Length

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

Radius of Quarter Circle given Perimeter Formula

LaTeX Go

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

Radius of Quarter Circle given Perimeter calculator uses Radius of Quarter Circle = (2*Perimeter of Quarter Circle)/(pi+4) to calculate the Radius of Quarter Circle, The Radius of Quarter Circle given Perimeter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the perimeter of that Quarter Circle. Radius of Quarter Circle is denoted by r symbol.

How to calculate Radius of Quarter Circle given Perimeter using this online calculator? To use this online calculator for Radius of Quarter Circle given Perimeter, enter Perimeter of Quarter Circle (P) and hit the calculate button. Here is how the Radius of Quarter Circle given Perimeter calculation can be explained with given input values -> 5.040892 = (2*18)/(pi+4).

FAQ

What is Radius of Quarter Circle given Perimeter?

How to calculate Radius of Quarter Circle given Perimeter?

The Radius of Quarter Circle given Perimeter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the perimeter of that Quarter Circle is calculated using Radius of Quarter Circle = (2*Perimeter of Quarter Circle)/(pi+4). To calculate Radius of Quarter Circle given Perimeter, you need Perimeter of Quarter Circle (P). With our tool, you need to enter the respective value for Perimeter 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 Radius of Quarter Circle?

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

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

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