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IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
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Radius of Quarter Circle given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius = sqrt(4*Area/pi)
r = sqrt(4*A/pi)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = sqrt(4*A/pi) --> sqrt(4*50/pi)
Evaluating ... ...
r = 7.97884560802865
STEP 3: Convert Result to Output's Unit
7.97884560802865 Meter --> No Conversion Required
FINAL ANSWER
7.97884560802865 Meter <-- Radius
(Calculation completed in 00.000 seconds)

3 Radius of Quarter Circle Calculators

Radius of Quarter Circle given area
Radius = sqrt(4*Area/pi) Go
Radius of Quarter Circle given perimeter
Radius = (2*Perimeter)/(pi+4) Go
Radius of Quarter Circle given arc length
Radius = (Arc Length/pi)*2 Go

Radius of Quarter Circle given area Formula

Radius = sqrt(4*Area/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 = sqrt(4*Area/pi) to calculate the Radius, 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 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 (A) and hit the calculate button. Here is how the Radius of Quarter Circle given area calculation can be explained with given input values -> 7.978846 = sqrt(4*50/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 = sqrt(4*Area/pi). The area is the amount of two-dimensional space taken up by an object.
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 = sqrt(4*Area/pi). To calculate Radius of Quarter Circle given area, you need Area (A). With our tool, you need to enter the respective value for Area 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?
In this formula, Radius uses Area. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Radius = (Arc Length/pi)*2
  • Radius = (2*Perimeter)/(pi+4)
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