Radius of Quarter Circle given Diameter Calculator

✖Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.ⓘ Diameter of Circle of Quarter Circle [D_Circle]

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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 Diameter [r]

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Formula

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Radius of Quarter Circle given Diameter

Formula

`"r" = "D"_{"Circle"}/2`

Example

`"5m"="10m"/2`

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Radius of Quarter Circle given Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Quarter Circle = Diameter of Circle of Quarter Circle/2
r = D_Circle/2
This formula uses 2 Variables

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.
Diameter of Circle of Quarter Circle - (Measured in Meter) - Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circle of Quarter Circle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = D_Circle/2 --> 10/2

Evaluating ... ...

r = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Radius of Quarter Circle

(Calculation completed in 00.020 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

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Mumbai University (DJSCE), Mumbai

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< 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 Diameter Formula

Radius of Quarter Circle = Diameter of Circle of Quarter Circle/2
r = D_Circle/2

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 Diameter?

Radius of Quarter Circle given Diameter calculator uses Radius of Quarter Circle = Diameter of Circle of Quarter Circle/2 to calculate the Radius of Quarter Circle, The Radius of Quarter Circle given Diameter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the diameter of that Quarter Circle. Radius of Quarter Circle is denoted by r symbol.

How to calculate Radius of Quarter Circle given Diameter using this online calculator? To use this online calculator for Radius of Quarter Circle given Diameter, enter Diameter of Circle of Quarter Circle (D_Circle) and hit the calculate button. Here is how the Radius of Quarter Circle given Diameter calculation can be explained with given input values -> 5 = 10/2.

FAQ

What is Radius of Quarter Circle given Diameter?

The Radius of Quarter Circle given Diameter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the diameter of that Quarter Circle and is represented as r = D_Circle/2 or Radius of Quarter Circle = Diameter of Circle of Quarter Circle/2. Diameter of Circle of Quarter Circle is the length of the diameter of the circle form which the Quarter Circle is cut.

How to calculate Radius of Quarter Circle given Diameter?

The Radius of Quarter Circle given Diameter formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the diameter of that Quarter Circle is calculated using Radius of Quarter Circle = Diameter of Circle of Quarter Circle/2. To calculate Radius of Quarter Circle given Diameter, you need Diameter of Circle of Quarter Circle (D_Circle). With our tool, you need to enter the respective value for Diameter of Circle 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 Diameter of Circle of Quarter Circle. We can use 4 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 = (2*Perimeter of Quarter Circle)/(pi+4)
Radius of Quarter Circle = Chord Length of Quarter Circle/sqrt(2)

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