Radius of Quarter Circle given Arc Length 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 given Arc Length [r]

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Formula

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Radius of Quarter Circle given Arc Length

Formula

`"r" = 2*"l"_{"Arc"}/pi`

Example

`"5.092958m"=2*"8m"/pi`

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Radius of Quarter Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Quarter Circle = 2*Arc Length of Quarter Circle/pi
r = 2*l_Arc/pi
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.
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

r = 2*l_Arc/pi --> 2*8/pi

Evaluating ... ...

r = 5.09295817894065

STEP 3: Convert Result to Output's Unit

5.09295817894065 Meter --> No Conversion Required

FINAL ANSWER

5.09295817894065 ≈ 5.092958 Meter <-- Radius of Quarter Circle

(Calculation completed in 00.004 seconds)

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Credits

Created by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has created this Calculator and 100+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 5 Radius of Quarter Circle Calculators

Radius of Quarter Circle given Area

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

Radius of Quarter Circle given Perimeter

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

Radius of Quarter Circle given Chord Length

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

Radius of Quarter Circle given Arc Length

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

Radius of Quarter Circle given Diameter

Go Radius of Quarter Circle = Diameter of Circle of Quarter Circle/2

Radius of Quarter Circle given Arc Length Formula

Radius of Quarter Circle = 2*Arc Length of Quarter Circle/pi
r = 2*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 Radius of Quarter Circle given Arc Length?

Radius of Quarter Circle given Arc Length calculator uses Radius of Quarter Circle = 2*Arc Length of Quarter Circle/pi to calculate the Radius of Quarter Circle, The Radius of Quarter Circle given Arc Length formula is defined as the distance between the center and curve of the circle, from which the Quarter Circle is cut, calculated using arc length. Radius of Quarter Circle is denoted by r symbol.

How to calculate Radius of Quarter Circle given Arc Length using this online calculator? To use this online calculator for Radius of Quarter Circle given Arc Length, enter Arc Length of Quarter Circle (l_Arc) and hit the calculate button. Here is how the Radius of Quarter Circle given Arc Length calculation can be explained with given input values -> 5.092958 = 2*8/pi.

FAQ

What is Radius of Quarter Circle given Arc Length?

How to calculate Radius of Quarter Circle given Arc Length?

The Radius of Quarter Circle given Arc Length formula is defined as the distance between the center and curve of the circle, from which the Quarter Circle is cut, calculated using arc length is calculated using Radius of Quarter Circle = 2*Arc Length of Quarter Circle/pi. To calculate Radius 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 Radius of Quarter Circle?

In this formula, Radius of Quarter Circle uses Arc Length of Quarter Circle. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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