Diameter of Quarter Circle given Area 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 Quarter Circle given Area [D_Circle]

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Formula

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Diameter of Quarter Circle given Area

Formula

`"D"_{"Circle"} = 2*sqrt(4*"A"/pi)`

Example

`"10.09253m"=2*sqrt(4*"20m²"/pi)`

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Diameter of Quarter Circle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi)
D_Circle = 2*sqrt(4*A/pi)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Area of Quarter Circle - (Measured in Square Meter) - Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.

STEP 1: Convert Input(s) to Base Unit

Area of Quarter Circle: 20 Square Meter --> 20 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_Circle = 2*sqrt(4*A/pi) --> 2*sqrt(4*20/pi)

Evaluating ... ...

D_Circle = 10.0925300880806

STEP 3: Convert Result to Output's Unit

10.0925300880806 Meter --> No Conversion Required

FINAL ANSWER

10.0925300880806 ≈ 10.09253 Meter <-- Diameter of Circle of Quarter Circle

(Calculation completed in 00.004 seconds)

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Credits

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 Diameter of Quarter Circle Calculators

Diameter of Quarter Circle given Area

Go Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi)

Diameter of Quarter Circle given Perimeter

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

Diameter of Quarter Circle given Chord Length

Go Diameter of Circle of Quarter Circle = Chord Length of Quarter Circle*sqrt(2)

Diameter of Quarter Circle given Arc Length

Go Diameter of Circle of Quarter Circle = 4*Arc Length of Quarter Circle/pi

Diameter of Quarter Circle

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

Diameter of Quarter Circle given Area Formula

Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi)
D_Circle = 2*sqrt(4*A/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 Diameter of Quarter Circle given Area?

Diameter of Quarter Circle given Area calculator uses Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi) to calculate the Diameter of Circle of Quarter Circle, The Diameter of Quarter Circle given Area formula is defined as the length of the diameter of the circle from which the Quarter Circle is cut and calculated using the area of the Quarter Circle. Diameter of Circle of Quarter Circle is denoted by D_Circle symbol.

How to calculate Diameter of Quarter Circle given Area using this online calculator? To use this online calculator for Diameter of Quarter Circle given Area, enter Area of Quarter Circle (A) and hit the calculate button. Here is how the Diameter of Quarter Circle given Area calculation can be explained with given input values -> 10.09253 = 2*sqrt(4*20/pi).

FAQ

What is Diameter of Quarter Circle given Area?

The Diameter of Quarter Circle given Area formula is defined as the length of the diameter of the circle from which the Quarter Circle is cut and calculated using the area of the Quarter Circle and is represented as D_Circle = 2*sqrt(4*A/pi) or Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi). Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.

How to calculate Diameter of Quarter Circle given Area?

The Diameter of Quarter Circle given Area formula is defined as the length of the diameter of the circle from which the Quarter Circle is cut and calculated using the area of the Quarter Circle is calculated using Diameter of Circle of Quarter Circle = 2*sqrt(4*Area of Quarter Circle/pi). To calculate Diameter of Quarter Circle given Area, you need Area of Quarter Circle (A). With our tool, you need to enter the respective value for Area 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 Diameter of Circle of Quarter Circle?

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

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

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