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Radius of a circle when area is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = sqrt(Area of Circle/pi)
r = sqrt(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 of Circle - The area of a circle is the number of square units inside that circle. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area of Circle: 78.54 Square Meter --> 78.54 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = sqrt(A/pi) --> sqrt(78.54/pi)
Evaluating ... ...
r = 5.00000584608407
STEP 3: Convert Result to Output's Unit
5.00000584608407 Meter -->500.000584608407 Centimeter (Check conversion here)
FINAL ANSWER
500.000584608407 Centimeter <-- Radius
(Calculation completed in 00.016 seconds)

8 Radius of Circle Calculators

Radius of circle given centre (h,k) and point(x,y)
radius = sqrt(((Distance between X-axis and point on the circle-Distance between x-axis and center of circle)^2)+((Distance between Y-axis and point on the circle-Distance between y-axis and center of circle)^2)) Go
radius of circle with center at origin
radius = sqrt((Distance between X-axis and point on the circle^2)+(Distance between Y-axis and point on the circle^2)) Go
Radius of Circle from Arc Angle and Area
radius_of_circle = sqrt((Area of Sector*2)/Subtended Angle in Radians) Go
Radius of a circle when area is given
radius = sqrt(Area of Circle/pi) Go
Radius of Circle from Arc Angle and Arc Length
radius_of_circle = Arc Length/Subtended Angle in Radians Go
Radius of circle when area of sector and angle are given
radius = (2*Area of Sector/Central Angle)^0.5 Go
Radius of a circle when circumference is given
radius = (Circumference of Circle)/(pi*2) Go
Radius of a circle when diameter is given
radius = Diameter/2 Go

Radius of a circle when area is given Formula

radius = sqrt(Area of Circle/pi)
r = sqrt(A/pi)

What is Radius of a circle when area is given?

Radius is a line from the center of a circle to a point on the circle or the distance from the center of a circle to a point on the circle. The plural form is radii (pronounced "ray-dee-eye"). Sometimes the word 'radius' is used to refer to the line itself. In that sense, you may see "draw a radius of the circle". To calculate the radius of the circle when the area is given, you need to take the square root of the area of circle divided by pi.

How to Calculate Radius of a circle when area is given?

Radius of a circle when area is given calculator uses radius = sqrt(Area of Circle/pi) to calculate the Radius, The radius of a circle when the area is given is the distance from the center outwards provided the value of the area is given. Radius and is denoted by r symbol.

How to calculate Radius of a circle when area is given using this online calculator? To use this online calculator for Radius of a circle when area is given, enter Area of Circle (A) and hit the calculate button. Here is how the Radius of a circle when area is given calculation can be explained with given input values -> 500.0006 = sqrt(78.54/pi).

FAQ

What is Radius of a circle when area is given?
The radius of a circle when the area is given is the distance from the center outwards provided the value of the area is given and is represented as r = sqrt(A/pi) or radius = sqrt(Area of Circle/pi). The area of a circle is the number of square units inside that circle.
How to calculate Radius of a circle when area is given?
The radius of a circle when the area is given is the distance from the center outwards provided the value of the area is given is calculated using radius = sqrt(Area of Circle/pi). To calculate Radius of a circle when area is given, you need Area of Circle (A). With our tool, you need to enter the respective value for Area of 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?
In this formula, Radius uses Area of Circle. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • radius_of_circle = Arc Length/Subtended Angle in Radians
  • radius_of_circle = sqrt((Area of Sector*2)/Subtended Angle in Radians)
  • radius = (2*Area of Sector/Central Angle)^0.5
  • radius = sqrt(((Distance between X-axis and point on the circle-Distance between x-axis and center of circle)^2)+((Distance between Y-axis and point on the circle-Distance between y-axis and center of circle)^2))
  • radius = sqrt((Distance between X-axis and point on the circle^2)+(Distance between Y-axis and point on the circle^2))
  • radius = (Circumference of Circle)/(pi*2)
  • radius = sqrt(Area of Circle/pi)
  • radius = Diameter/2
Where is the Radius of a circle when area is given calculator used?
Among many, Radius of a circle when area is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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