Radius of Quarter Circle given Area Calculator

✖Area of Quarter Circle is the total quantity of plane enclosed by the boundary of Quarter Circle.ⓘ Area of Quarter Circle [A]

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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 Area [r]

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Radius of Quarter Circle given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

r = 5.04626504404032

STEP 3: Convert Result to Output's Unit

5.04626504404032 Meter --> No Conversion Required

FINAL ANSWER

5.04626504404032 ≈ 5.046265 Meter <-- Radius of Quarter Circle

(Calculation completed in 00.020 seconds)

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IIT Madras (IIT Madras), Chennai

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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 Area Formula

LaTeX Go

Radius of Quarter Circle = sqrt(4*Area of Quarter Circle/pi)
r = 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 Radius of Quarter Circle given Area?

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

How to calculate Radius of Quarter Circle given Area using this online calculator? To use this online calculator for Radius of Quarter Circle given Area, enter Area of Quarter Circle (A) and hit the calculate button. Here is how the Radius of Quarter Circle given Area calculation can be explained with given input values -> 5.046265 = sqrt(4*20/pi).

FAQ

What is Radius of Quarter Circle given Area?

The Radius of Quarter Circle given Area formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the area of that Quarter Circle and is represented as r = sqrt(4*A/pi) or Radius of Quarter Circle = 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 Radius of Quarter Circle given Area?

The Radius of Quarter Circle given Area formula is defined as the radius of the Circle from which the given Quarter Circle is cut, and found by using the area of that Quarter Circle is calculated using Radius of Quarter Circle = sqrt(4*Area of Quarter Circle/pi). To calculate Radius 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 Radius of Quarter Circle?

In this formula, Radius of Quarter Circle uses Area 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 = (2*Perimeter of Quarter Circle)/(pi+4)
Radius of Quarter Circle = Chord Length of Quarter Circle/sqrt(2)

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